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Finding the Fourth Proportional to 327.11, 489.71 and 280.97

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Solution

The fourth proportional to 327.11, 489.71 and 280.97 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.11 : 489.71 = 280.97 : x
  2. Step 2: Convert to fraction form
    327.11/489.71 = 280.97/x
  3. Step 3: Cross multiply
    327.11x = 489.71 × 280.97
  4. Step 4: Simplify right side
    327.11x = 137,593.91
  5. Step 5: Solve for x
    x = 137,593.91/327.11
  6. Step 6: Final answer
    x = 420.64

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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.