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Finding the Fourth Proportional to 249.34, 371.57 and 248.14

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Solution

The fourth proportional to 249.34, 371.57 and 248.14 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.34 : 371.57 = 248.14 : x
  2. Step 2: Convert to fraction form
    249.34/371.57 = 248.14/x
  3. Step 3: Cross multiply
    249.34x = 371.57 × 248.14
  4. Step 4: Simplify right side
    249.34x = 92,201.38
  5. Step 5: Solve for x
    x = 92,201.38/249.34
  6. Step 6: Final answer
    x = 369.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.