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Finding the Fourth Proportional to 416.47, 624.71 and 225.31

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Solution

The fourth proportional to 416.47, 624.71 and 225.31 is: 337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.47 : 624.71 = 225.31 : x
  2. Step 2: Convert to fraction form
    416.47/624.71 = 225.31/x
  3. Step 3: Cross multiply
    416.47x = 624.71 × 225.31
  4. Step 4: Simplify right side
    416.47x = 140,752.28
  5. Step 5: Solve for x
    x = 140,752.28/416.47
  6. Step 6: Final answer
    x = 337.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.