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Finding the Fourth Proportional to 249.27, 371.78 and 211.02

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Solution

The fourth proportional to 249.27, 371.78 and 211.02 is: 314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.27 : 371.78 = 211.02 : x
  2. Step 2: Convert to fraction form
    249.27/371.78 = 211.02/x
  3. Step 3: Cross multiply
    249.27x = 371.78 × 211.02
  4. Step 4: Simplify right side
    249.27x = 78,451.96
  5. Step 5: Solve for x
    x = 78,451.96/249.27
  6. Step 6: Final answer
    x = 314.73

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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.