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Finding the Fourth Proportional to 249.19, 344.03 and 166.57

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Solution

The fourth proportional to 249.19, 344.03 and 166.57 is: 229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.19 : 344.03 = 166.57 : x
  2. Step 2: Convert to fraction form
    249.19/344.03 = 166.57/x
  3. Step 3: Cross multiply
    249.19x = 344.03 × 166.57
  4. Step 4: Simplify right side
    249.19x = 57,305.94
  5. Step 5: Solve for x
    x = 57,305.94/249.19
  6. Step 6: Final answer
    x = 229.97

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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.