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Finding the Fourth Proportional to 200.38, 300.45 and 92.17

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Solution

The fourth proportional to 200.38, 300.45 and 92.17 is: 138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 300.45 = 92.17 : x
  2. Step 2: Convert to fraction form
    200.38/300.45 = 92.17/x
  3. Step 3: Cross multiply
    200.38x = 300.45 × 92.17
  4. Step 4: Simplify right side
    200.38x = 27,691.73
  5. Step 5: Solve for x
    x = 27,691.73/200.38
  6. Step 6: Final answer
    x = 138.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.