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Mathematics

If x2, 4 and 9 are in continued proportion, find x.

Ratio Proportion

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Answer

Given,

x2, 4 and 9 are in continued proportion.

∴x24=49⇒x2=169⇒x=169⇒x=43.\therefore \dfrac{x^2}{4} = \dfrac{4}{9} \\[1em] \Rightarrow x^2 = \dfrac{16}{9} \\[1em] \Rightarrow x = \sqrt{\dfrac{16}{9}} \\[1em] \Rightarrow x = \dfrac{4}{3}.

Hence, x = 43.\dfrac{4}{3}.

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