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Ratio & Proportion · Question 33 of 67

Question 33

MediumOriginal question

What is the ratio of the fourth proportional to 4, 7 and 20 to the mean proportional between 7 and 28?

Options for question 33

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Fourth proportional to 4, 7, 20: 7×204=35\frac{7 \times 20}{4} = 35.

  2. Mean proportional between 7 and 28: 7×28=196=14\sqrt{7 \times 28} = \sqrt{196} = 14.

  3. Required ratio = 35:14=5:235 : 14 = 5 : 2.

Worth noting

The question asks for the fourth proportional first, so the ratio is 35:1435 : 14, not 14:3514 : 35.

Concept
Fourth and mean proportionals together
Typical time
60 s
Your time
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The rule this testsProportion
Practise this chapter →

Ten questions from Ratio & Proportion, at your own pace.

Practise this chapter →

Ten questions from Ratio & Proportion, at your own pace.