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Finding the Fourth Proportional to 415.78, 573.71 and 249.96

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Solution

The fourth proportional to 415.78, 573.71 and 249.96 is: 344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.78 : 573.71 = 249.96 : x
  2. Step 2: Convert to fraction form
    415.78/573.71 = 249.96/x
  3. Step 3: Cross multiply
    415.78x = 573.71 × 249.96
  4. Step 4: Simplify right side
    415.78x = 143,404.54
  5. Step 5: Solve for x
    x = 143,404.54/415.78
  6. Step 6: Final answer
    x = 344.90

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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.