Finding the Fourth Proportional to 252.64, 378.97 and 142.96
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Solution
The fourth proportional to 252.64, 378.97 and 142.96 is: 214.45
Step by Step Solution
- Step 1: Write the proportion equation
252.64 : 378.97 = 142.96 : x - Step 2: Convert to fraction form
252.64/378.97 = 142.96/x - Step 3: Cross multiply
252.64x = 378.97 × 142.96 - Step 4: Simplify right side
252.64x = 54,177.55 - Step 5: Solve for x
x = 54,177.55/252.64 - Step 6: Final answer
x = 214.45
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.