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Finding the Fourth Proportional to 239.92, 330.76 and 204.80

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Solution

The fourth proportional to 239.92, 330.76 and 204.80 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.92 : 330.76 = 204.80 : x
  2. Step 2: Convert to fraction form
    239.92/330.76 = 204.80/x
  3. Step 3: Cross multiply
    239.92x = 330.76 × 204.80
  4. Step 4: Simplify right side
    239.92x = 67,737.48
  5. Step 5: Solve for x
    x = 67,737.48/239.92
  6. Step 6: Final answer
    x = 282.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.