Finding the Fourth Proportional to 97.97, 146.97 and 46.58
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Solution
The fourth proportional to 97.97, 146.97 and 46.58 is: 69.87
Step by Step Solution
- Step 1: Write the proportion equation
97.97 : 146.97 = 46.58 : x - Step 2: Convert to fraction form
97.97/146.97 = 46.58/x - Step 3: Cross multiply
97.97x = 146.97 × 46.58 - Step 4: Simplify right side
97.97x = 6,845.13 - Step 5: Solve for x
x = 6,845.13/97.97 - Step 6: Final answer
x = 69.87
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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.