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Finding the Fourth Proportional to 327, 489.69 and 318.78

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Solution

The fourth proportional to 327, 489.69 and 318.78 is: 477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327 : 489.69 = 318.78 : x
  2. Step 2: Convert to fraction form
    327/489.69 = 318.78/x
  3. Step 3: Cross multiply
    327x = 489.69 × 318.78
  4. Step 4: Simplify right side
    327x = 156,103.38
  5. Step 5: Solve for x
    x = 156,103.38/327
  6. Step 6: Final answer
    x = 477.38

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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.