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Finding the Fourth Proportional to 417.20, 574.72 and 292.61

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Solution

The fourth proportional to 417.20, 574.72 and 292.61 is: 403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 574.72 = 292.61 : x
  2. Step 2: Convert to fraction form
    417.20/574.72 = 292.61/x
  3. Step 3: Cross multiply
    417.20x = 574.72 × 292.61
  4. Step 4: Simplify right side
    417.20x = 168,169.52
  5. Step 5: Solve for x
    x = 168,169.52/417.20
  6. Step 6: Final answer
    x = 403.10

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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.