Find the number for the box, if the following numbers are in proportion:
$15, 20, □, 36$

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Solution

We know that four numbers are in proportion if
Product of middle terms $=$ Product of extreme terms
$\Rightarrow 20 \times □ = 15 \times 36 \Rightarrow □ = \frac{15 \times 36^{9}}{20^{5}} \Rightarrow □ = \frac{15 \times 9}{5} \Rightarrow □ = 3 \times 9 \Rightarrow □ = 27$
Hence, the required number is $27$

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