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Finding the Fourth Proportional to 417.87, 576.45 and 252.09

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Solution

The fourth proportional to 417.87, 576.45 and 252.09 is: 347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.87 : 576.45 = 252.09 : x
  2. Step 2: Convert to fraction form
    417.87/576.45 = 252.09/x
  3. Step 3: Cross multiply
    417.87x = 576.45 × 252.09
  4. Step 4: Simplify right side
    417.87x = 145,317.28
  5. Step 5: Solve for x
    x = 145,317.28/417.87
  6. Step 6: Final answer
    x = 347.76

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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.