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Finding the Fourth Proportional to 249.52, 344.61 and 194.91

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Solution

The fourth proportional to 249.52, 344.61 and 194.91 is: 269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.52 : 344.61 = 194.91 : x
  2. Step 2: Convert to fraction form
    249.52/344.61 = 194.91/x
  3. Step 3: Cross multiply
    249.52x = 344.61 × 194.91
  4. Step 4: Simplify right side
    249.52x = 67,167.94
  5. Step 5: Solve for x
    x = 67,167.94/249.52
  6. Step 6: Final answer
    x = 269.19

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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.