What is the fourth proportional to 189, 273 a | vedclass

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(C) Let the fourth proportional be $d$.By the definition of proportion,if $a, b, c$ are in proportion to $d$,then $\frac{a}{b} = \frac{c}{d}$.Here,$a

Vedclass · Accepted Answer

$221$

Vedclass · Answer

(C) Let the fourth proportional be $d$.By the definition of proportion,if $a, b, c$ are in proportion to $d$,then $\frac{a}{b} = \frac{c}{d}$.Here,$a = 189$,$b = 273$,and $c = 153$.So,$\frac{189}{273} = \frac{153}{d}$.Simplifying the fraction $\frac{189}{273}$ by dividing both by $21$,we get $\frac{189 \div 21}{273 \div 21} = \frac{9}{13}$.Now,the equation becomes $\frac{9}{13} = \frac{153}{d}$.Cross-multiplying,we get $9d = 153 	imes 13$.$d = \frac{153 	imes 13}{9}$.Since $153 \div 9 = 17$,we have $d = 17 	imes 13 = 221$.Therefore,the fourth proportional is $221$.

What is the fourth proportional to $189, 273$ and $153$?

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