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Finding the Fourth Proportional to 251.38, 376.89 and 97.28

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Solution

The fourth proportional to 251.38, 376.89 and 97.28 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.38 : 376.89 = 97.28 : x
  2. Step 2: Convert to fraction form
    251.38/376.89 = 97.28/x
  3. Step 3: Cross multiply
    251.38x = 376.89 × 97.28
  4. Step 4: Simplify right side
    251.38x = 36,663.86
  5. Step 5: Solve for x
    x = 36,663.86/251.38
  6. Step 6: Final answer
    x = 145.85

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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.