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Finding the Fourth Proportional to 249.29, 343.99 and 138.77

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Solution

The fourth proportional to 249.29, 343.99 and 138.77 is: 191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.29 : 343.99 = 138.77 : x
  2. Step 2: Convert to fraction form
    249.29/343.99 = 138.77/x
  3. Step 3: Cross multiply
    249.29x = 343.99 × 138.77
  4. Step 4: Simplify right side
    249.29x = 47,734.46
  5. Step 5: Solve for x
    x = 47,734.46/249.29
  6. Step 6: Final answer
    x = 191.48

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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.