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Finding the Fourth Proportional to 204.59, 306.87 and 82.78

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Solution

The fourth proportional to 204.59, 306.87 and 82.78 is: 124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.59 : 306.87 = 82.78 : x
  2. Step 2: Convert to fraction form
    204.59/306.87 = 82.78/x
  3. Step 3: Cross multiply
    204.59x = 306.87 × 82.78
  4. Step 4: Simplify right side
    204.59x = 25,402.70
  5. Step 5: Solve for x
    x = 25,402.70/204.59
  6. Step 6: Final answer
    x = 124.16

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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.