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Finding the Fourth Proportional to 249.25, 344.03 and 161.77

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Solution

The fourth proportional to 249.25, 344.03 and 161.77 is: 223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.25 : 344.03 = 161.77 : x
  2. Step 2: Convert to fraction form
    249.25/344.03 = 161.77/x
  3. Step 3: Cross multiply
    249.25x = 344.03 × 161.77
  4. Step 4: Simplify right side
    249.25x = 55,654.62
  5. Step 5: Solve for x
    x = 55,654.62/249.25
  6. Step 6: Final answer
    x = 223.28

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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.