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Finding the Fourth Proportional to 415.65, 573.12 and 349.41

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Solution

The fourth proportional to 415.65, 573.12 and 349.41 is: 481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.65 : 573.12 = 349.41 : x
  2. Step 2: Convert to fraction form
    415.65/573.12 = 349.41/x
  3. Step 3: Cross multiply
    415.65x = 573.12 × 349.41
  4. Step 4: Simplify right side
    415.65x = 200,253.86
  5. Step 5: Solve for x
    x = 200,253.86/415.65
  6. Step 6: Final answer
    x = 481.78

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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.