Join 60,000+ competitive exam aspirants
If 1.6:0.6::0.6:x, find the value of x.
0.275
0.225
0.25
0.98
0.225
In a proportion a:b::b:x, x is the third proportional given by x=ab2тАЛ. Here, b=0.6 and a=1.6, so x=1.60.6├Ч0.6тАЛ=1.60.36тАЛ=163.6тАЛ=0.225.
Ratio proportion: 1.6 : 0.6 :: 0.6 : x
a:b::c:dтЯ╣a├Чd=b├Чc
In a proportion a:b::b:x, x is the third proportional given by x=ab2тАЛ. Here, b=0.6 and a=1.6, so x=1.60.6├Ч0.6тАЛ=1.60.36тАЛ=163.6тАЛ=0.225.
Confusing the order of terms or misplacing the decimal point when dividing 0.36 by 1.6.
Set up the proportion equation
Since the values are in proportion 1.6:0.6::0.6:x, we use the rule that the product of extremes equals the product of means.
1.6├Чx=0.6├Ч0.6
Calculate the product of the means
Multiply the inner terms: 0.6├Ч0.6=0.36.
0.6├Ч0.6=0.36
Solve for x
Divide the product by the known extreme: x=1.60.36тАЛ=163.6тАЛ.
x=0.225
B is correct because the value of x, calculated as 1.60.6├Ч0.6тАЛ, is 0.225.
This concept of 'third proportional' (c=ab2тАЛ) is frequently tested in ratio and proportion problems in RRB and SSC competitive exams.