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Finding the Fourth Proportional to 417.87, 576.89 and 252.13

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Solution

The fourth proportional to 417.87, 576.89 and 252.13 is: 348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.87 : 576.89 = 252.13 : x
  2. Step 2: Convert to fraction form
    417.87/576.89 = 252.13/x
  3. Step 3: Cross multiply
    417.87x = 576.89 × 252.13
  4. Step 4: Simplify right side
    417.87x = 145,449.02
  5. Step 5: Solve for x
    x = 145,449.02/417.87
  6. Step 6: Final answer
    x = 348.07

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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.