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Finding the Fourth Proportional to 269.39, 371.45 and 249.95

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Solution

The fourth proportional to 269.39, 371.45 and 249.95 is: 344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.39 : 371.45 = 249.95 : x
  2. Step 2: Convert to fraction form
    269.39/371.45 = 249.95/x
  3. Step 3: Cross multiply
    269.39x = 371.45 × 249.95
  4. Step 4: Simplify right side
    269.39x = 92,842.68
  5. Step 5: Solve for x
    x = 92,842.68/269.39
  6. Step 6: Final answer
    x = 344.64

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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.