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Finding the Fourth Proportional to 204.38, 306.61 and 76.13

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Solution

The fourth proportional to 204.38, 306.61 and 76.13 is: 114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.38 : 306.61 = 76.13 : x
  2. Step 2: Convert to fraction form
    204.38/306.61 = 76.13/x
  3. Step 3: Cross multiply
    204.38x = 306.61 × 76.13
  4. Step 4: Simplify right side
    204.38x = 23,342.22
  5. Step 5: Solve for x
    x = 23,342.22/204.38
  6. Step 6: Final answer
    x = 114.21

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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.