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Finding the Fourth Proportional to 249.30, 344.04 and 138.78

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Solution

The fourth proportional to 249.30, 344.04 and 138.78 is: 191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.30 : 344.04 = 138.78 : x
  2. Step 2: Convert to fraction form
    249.30/344.04 = 138.78/x
  3. Step 3: Cross multiply
    249.30x = 344.04 × 138.78
  4. Step 4: Simplify right side
    249.30x = 47,745.87
  5. Step 5: Solve for x
    x = 47,745.87/249.30
  6. Step 6: Final answer
    x = 191.52

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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.