Finding the Fourth Proportional to 98.52, 147.84 and 83.31
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Solution
The fourth proportional to 98.52, 147.84 and 83.31 is: 125.02
Step by Step Solution
- Step 1: Write the proportion equation
98.52 : 147.84 = 83.31 : x - Step 2: Convert to fraction form
98.52/147.84 = 83.31/x - Step 3: Cross multiply
98.52x = 147.84 × 83.31 - Step 4: Simplify right side
98.52x = 12,316.55 - Step 5: Solve for x
x = 12,316.55/98.52 - Step 6: Final answer
x = 125.02
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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.