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Finding the Fourth Proportional to 415.97, 574.05 and 229.48

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Solution

The fourth proportional to 415.97, 574.05 and 229.48 is: 316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.97 : 574.05 = 229.48 : x
  2. Step 2: Convert to fraction form
    415.97/574.05 = 229.48/x
  3. Step 3: Cross multiply
    415.97x = 574.05 × 229.48
  4. Step 4: Simplify right side
    415.97x = 131,728.98
  5. Step 5: Solve for x
    x = 131,728.98/415.97
  6. Step 6: Final answer
    x = 316.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.