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Finding the Fourth Proportional to 416.45, 624.69 and 142.55

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Solution

The fourth proportional to 416.45, 624.69 and 142.55 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.45 : 624.69 = 142.55 : x
  2. Step 2: Convert to fraction form
    416.45/624.69 = 142.55/x
  3. Step 3: Cross multiply
    416.45x = 624.69 × 142.55
  4. Step 4: Simplify right side
    416.45x = 89,046.44
  5. Step 5: Solve for x
    x = 89,046.44/416.45
  6. Step 6: Final answer
    x = 213.83

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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.