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Finding the Fourth Proportional to 249.92, 377.10 and 239.94

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Solution

The fourth proportional to 249.92, 377.10 and 239.94 is: 362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.92 : 377.10 = 239.94 : x
  2. Step 2: Convert to fraction form
    249.92/377.10 = 239.94/x
  3. Step 3: Cross multiply
    249.92x = 377.10 × 239.94
  4. Step 4: Simplify right side
    249.92x = 90,481.37
  5. Step 5: Solve for x
    x = 90,481.37/249.92
  6. Step 6: Final answer
    x = 362.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.