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Finding the Fourth Proportional to 417.13, 575.69 and 249.17

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Solution

The fourth proportional to 417.13, 575.69 and 249.17 is: 343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.13 : 575.69 = 249.17 : x
  2. Step 2: Convert to fraction form
    417.13/575.69 = 249.17/x
  3. Step 3: Cross multiply
    417.13x = 575.69 × 249.17
  4. Step 4: Simplify right side
    417.13x = 143,440.55
  5. Step 5: Solve for x
    x = 143,440.55/417.13
  6. Step 6: Final answer
    x = 343.88

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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.