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Finding the Fourth Proportional to 415.12, 573.10 and 249.38

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Solution

The fourth proportional to 415.12, 573.10 and 249.38 is: 344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.12 : 573.10 = 249.38 : x
  2. Step 2: Convert to fraction form
    415.12/573.10 = 249.38/x
  3. Step 3: Cross multiply
    415.12x = 573.10 × 249.38
  4. Step 4: Simplify right side
    415.12x = 142,919.68
  5. Step 5: Solve for x
    x = 142,919.68/415.12
  6. Step 6: Final answer
    x = 344.29

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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.