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Finding the Fourth Proportional to 308.62, 426.50 and 249.49

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Solution

The fourth proportional to 308.62, 426.50 and 249.49 is: 344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.62 : 426.50 = 249.49 : x
  2. Step 2: Convert to fraction form
    308.62/426.50 = 249.49/x
  3. Step 3: Cross multiply
    308.62x = 426.50 × 249.49
  4. Step 4: Simplify right side
    308.62x = 106,407.49
  5. Step 5: Solve for x
    x = 106,407.49/308.62
  6. Step 6: Final answer
    x = 344.78

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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.