Finding the Fourth Proportional to 193.92, 290.96 and 97.68
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Solution
The fourth proportional to 193.92, 290.96 and 97.68 is: 146.56
Step by Step Solution
- Step 1: Write the proportion equation
193.92 : 290.96 = 97.68 : x - Step 2: Convert to fraction form
193.92/290.96 = 97.68/x - Step 3: Cross multiply
193.92x = 290.96 × 97.68 - Step 4: Simplify right side
193.92x = 28,420.97 - Step 5: Solve for x
x = 28,420.97/193.92 - Step 6: Final answer
x = 146.56
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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.