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Finding the Fourth Proportional to 327.92, 489.14 and 299.96

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Solution

The fourth proportional to 327.92, 489.14 and 299.96 is: 447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.92 : 489.14 = 299.96 : x
  2. Step 2: Convert to fraction form
    327.92/489.14 = 299.96/x
  3. Step 3: Cross multiply
    327.92x = 489.14 × 299.96
  4. Step 4: Simplify right side
    327.92x = 146,722.43
  5. Step 5: Solve for x
    x = 146,722.43/327.92
  6. Step 6: Final answer
    x = 447.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.