Question

Check whether the following quantities form a proportion or not:​(ii) $0.8,3,2.4\text{and}9$.

Answer 1

Find the ratio of first and last two quantities :
Ratio of first two terms
$=\frac{0.8}{3}=\frac{8}{30}=\frac{4}{15}=4:15$
[Dividing numerators and denominator by their HCF equal to $2$.]

Ratio of last two terms
$=\frac{2.4}{9}=\frac{24}{90}=\frac{4}{15}=4:15$
[Dividing numerators and denominator by their HCF equal to $6$.]

Sincethe ratio of $0.8$ and $3=$ Ratio of $2.4$ and $9$
Hence, the given quantities form a proportion .