Question

In a proportion, the product of means is 252. If the first term of the proportion is 7, what is its fourth term?
explain it step by step​

Answer 1

Answer:

The fourth term $= 36$

Step-by-step explanation:

When a:b :: c:d

b & c are means and a & d are extremes.

By definition of proportions, $\frac{a}{b} = \frac{c}{d}$ $=> bc = ad$ [by cross multiplication]

In other words, Product of means = Product of Extremes

According to the problem:

7 times its fourth term = 252

∴ The fourth term $= \frac{252}{7} = 36$

Answer 2

Step-by-step explanation:

Product of means is 252

let fourth term be x

Then, 7:252:x

or, 7/252=1/x

or, 7x=252

or, x=252/7

or, x=36

So the answer is 36

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