Finding the Fourth Proportional to 38.42, 53.02 and 27.53
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Solution
The fourth proportional to 38.42, 53.02 and 27.53 is: 37.99
Step by Step Solution
- Step 1: Write the proportion equation
38.42 : 53.02 = 27.53 : x - Step 2: Convert to fraction form
38.42/53.02 = 27.53/x - Step 3: Cross multiply
38.42x = 53.02 × 27.53 - Step 4: Simplify right side
38.42x = 1,459.64 - Step 5: Solve for x
x = 1,459.64/38.42 - Step 6: Final answer
x = 37.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.