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Finding the Fourth Proportional to 416.31, 624.53 and 142.47

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Solution

The fourth proportional to 416.31, 624.53 and 142.47 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.31 : 624.53 = 142.47 : x
  2. Step 2: Convert to fraction form
    416.31/624.53 = 142.47/x
  3. Step 3: Cross multiply
    416.31x = 624.53 × 142.47
  4. Step 4: Simplify right side
    416.31x = 88,976.08
  5. Step 5: Solve for x
    x = 88,976.08/416.31
  6. Step 6: Final answer
    x = 213.73

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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.