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Finding the Fourth Proportional to 249.38, 344.26 and 162.20

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Solution

The fourth proportional to 249.38, 344.26 and 162.20 is: 223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.38 : 344.26 = 162.20 : x
  2. Step 2: Convert to fraction form
    249.38/344.26 = 162.20/x
  3. Step 3: Cross multiply
    249.38x = 344.26 × 162.20
  4. Step 4: Simplify right side
    249.38x = 55,838.97
  5. Step 5: Solve for x
    x = 55,838.97/249.38
  6. Step 6: Final answer
    x = 223.91

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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.