Finding the Fourth Proportional to 98.26, 147.42 and 57.70
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Solution
The fourth proportional to 98.26, 147.42 and 57.70 is: 86.57
Step by Step Solution
- Step 1: Write the proportion equation
98.26 : 147.42 = 57.70 : x - Step 2: Convert to fraction form
98.26/147.42 = 57.70/x - Step 3: Cross multiply
98.26x = 147.42 × 57.70 - Step 4: Simplify right side
98.26x = 8,506.13 - Step 5: Solve for x
x = 8,506.13/98.26 - Step 6: Final answer
x = 86.57
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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.