Finding the Fourth Proportional to 701.52, 1,052.24 and 188.52
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Solution
The fourth proportional to 701.52, 1,052.24 and 188.52 is: 282.77
Step by Step Solution
- Step 1: Write the proportion equation
701.52 : 1,052.24 = 188.52 : x - Step 2: Convert to fraction form
701.52/1,052.24 = 188.52/x - Step 3: Cross multiply
701.52x = 1,052.24 × 188.52 - Step 4: Simplify right side
701.52x = 198,368.28 - Step 5: Solve for x
x = 198,368.28/701.52 - Step 6: Final answer
x = 282.77
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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.