Finding the Fourth Proportional to 194.87, 292.21 and 113.74
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Solution
The fourth proportional to 194.87, 292.21 and 113.74 is: 170.55
Step by Step Solution
- Step 1: Write the proportion equation
194.87 : 292.21 = 113.74 : x - Step 2: Convert to fraction form
194.87/292.21 = 113.74/x - Step 3: Cross multiply
194.87x = 292.21 × 113.74 - Step 4: Simplify right side
194.87x = 33,235.97 - Step 5: Solve for x
x = 33,235.97/194.87 - Step 6: Final answer
x = 170.55
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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.