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Finding the Fourth Proportional to 249.38, 344.11 and 144.49

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Solution

The fourth proportional to 249.38, 344.11 and 144.49 is: 199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.38 : 344.11 = 144.49 : x
  2. Step 2: Convert to fraction form
    249.38/344.11 = 144.49/x
  3. Step 3: Cross multiply
    249.38x = 344.11 × 144.49
  4. Step 4: Simplify right side
    249.38x = 49,720.45
  5. Step 5: Solve for x
    x = 49,720.45/249.38
  6. Step 6: Final answer
    x = 199.38

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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.