# Properties of Proportion. Geometric Mean

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Ratio and Proportion Learning Material
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4.4Properties of Proportion. Geometric Mean

## Properties of Proportion. Geometric Mean Revision Questions

1. . What is the missing term in the proportion below?

18/x = 8/20
1. 36
2. 40
3. 45
4. 50

2. . What is the missing term in the proportion below?

21/9 = 56/x
1. 18
2. 24
3. 30
4. 36

3. . What are the missing terms x and y in the proportion below?

x:12:15 = 10:y:25
1. x = 6; y = 15
2. x = 8; y = 20
3. x = 6; y = 20
4. x = 3; y = 12

4. . What is the result of a × b if a and b are terms of the following proportion?

a:6:15 = 4:8:b
1. 3
2. 20
3. 45
4. 60

5. . What is the geometric mean of 5 and 20?

1. 100
2. 25
3. 12.5
4. 10

6. .The geometric mean of 16 and m is 8. What is the value of m?

1. 4
2. 12
3. 24
4. 128

7. .A cube having the side length equal to 6 inches is melted down to produce a rectangular container by dimensions 9 in × w in× 3 in, where w represents the width of the new container. What is the value of w in inches?

1. 6 in
2. 8 in
3. 12 in
4. 36 in

8. .The equivalent resistance of a parallel combination of resistors is 8 ohms. What is the resistance of the second resistor if that of the first resistor is 6 ohms?

1. 7 ohms
2. √48 ohms
3. 10 ohms
4. 12 ohms

9. .A rectangle has the dimensions 18 cm and 8 cm. What is the side length of a square, which has the same area with the given rectangle?

1. 10 cm
2. 12 cm
3. 13 cm
4. 16 cm

10. . Two brothers are actually 12 and 17 years old respectively. After how many years the ratios of their ages will be 4:5?

1. 5
2. 6
3. 7
4. 8

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