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Finding the Fourth Proportional to 414.27, 619.83 and 281.97

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Solution

The fourth proportional to 414.27, 619.83 and 281.97 is: 421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.27 : 619.83 = 281.97 : x
  2. Step 2: Convert to fraction form
    414.27/619.83 = 281.97/x
  3. Step 3: Cross multiply
    414.27x = 619.83 × 281.97
  4. Step 4: Simplify right side
    414.27x = 174,773.47
  5. Step 5: Solve for x
    x = 174,773.47/414.27
  6. Step 6: Final answer
    x = 421.88

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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.