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Finding the Fourth Proportional to 249.47, 344.29 and 138.95

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Solution

The fourth proportional to 249.47, 344.29 and 138.95 is: 191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.47 : 344.29 = 138.95 : x
  2. Step 2: Convert to fraction form
    249.47/344.29 = 138.95/x
  3. Step 3: Cross multiply
    249.47x = 344.29 × 138.95
  4. Step 4: Simplify right side
    249.47x = 47,839.61
  5. Step 5: Solve for x
    x = 47,839.61/249.47
  6. Step 6: Final answer
    x = 191.77

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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.