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Finding the Fourth Proportional to 249.59, 343.91 and 170.91

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Solution

The fourth proportional to 249.59, 343.91 and 170.91 is: 235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.59 : 343.91 = 170.91 : x
  2. Step 2: Convert to fraction form
    249.59/343.91 = 170.91/x
  3. Step 3: Cross multiply
    249.59x = 343.91 × 170.91
  4. Step 4: Simplify right side
    249.59x = 58,778.09
  5. Step 5: Solve for x
    x = 58,778.09/249.59
  6. Step 6: Final answer
    x = 235.50

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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.