Find the number for the box, if the following numbers are in proportion:
$□, 20, 27, 36$

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Solution

We know that four numbers are in proportion if
Product of middle terms $=$ Product of extreme terms
$\Rightarrow □ \times 36 = 20 \times 27 \Rightarrow □ = \frac{20 \times 27}{36} \Rightarrow □ = \frac{20 \times 3}{4} \Rightarrow □ = 5 \times 3 \Rightarrow □ = 15$
hence, the required number is $15$

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