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Finding the Fourth Proportional to 249.62, 371.66 and 248.40

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Solution

The fourth proportional to 249.62, 371.66 and 248.40 is: 369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.62 : 371.66 = 248.40 : x
  2. Step 2: Convert to fraction form
    249.62/371.66 = 248.40/x
  3. Step 3: Cross multiply
    249.62x = 371.66 × 248.40
  4. Step 4: Simplify right side
    249.62x = 92,319.10
  5. Step 5: Solve for x
    x = 92,319.10/249.62
  6. Step 6: Final answer
    x = 369.85

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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.