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Finding the Fourth Proportional to 414.90, 572.57 and 225.85

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Solution

The fourth proportional to 414.90, 572.57 and 225.85 is: 311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.90 : 572.57 = 225.85 : x
  2. Step 2: Convert to fraction form
    414.90/572.57 = 225.85/x
  3. Step 3: Cross multiply
    414.90x = 572.57 × 225.85
  4. Step 4: Simplify right side
    414.90x = 129,314.93
  5. Step 5: Solve for x
    x = 129,314.93/414.90
  6. Step 6: Final answer
    x = 311.68

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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.