Finding the Fourth Proportional to 229.74, 343.92 and 178.62
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Solution
The fourth proportional to 229.74, 343.92 and 178.62 is: 267.39
Step by Step Solution
- Step 1: Write the proportion equation
229.74 : 343.92 = 178.62 : x - Step 2: Convert to fraction form
229.74/343.92 = 178.62/x - Step 3: Cross multiply
229.74x = 343.92 × 178.62 - Step 4: Simplify right side
229.74x = 61,430.99 - Step 5: Solve for x
x = 61,430.99/229.74 - Step 6: Final answer
x = 267.39
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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.