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Finding the Fourth Proportional to 249.11, 343.85 and 161.78

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Solution

The fourth proportional to 249.11, 343.85 and 161.78 is: 223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.11 : 343.85 = 161.78 : x
  2. Step 2: Convert to fraction form
    249.11/343.85 = 161.78/x
  3. Step 3: Cross multiply
    249.11x = 343.85 × 161.78
  4. Step 4: Simplify right side
    249.11x = 55,628.05
  5. Step 5: Solve for x
    x = 55,628.05/249.11
  6. Step 6: Final answer
    x = 223.31

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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.