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Finding the Fourth Proportional to 249.10, 343.86 and 170.56

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Solution

The fourth proportional to 249.10, 343.86 and 170.56 is: 235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.10 : 343.86 = 170.56 : x
  2. Step 2: Convert to fraction form
    249.10/343.86 = 170.56/x
  3. Step 3: Cross multiply
    249.10x = 343.86 × 170.56
  4. Step 4: Simplify right side
    249.10x = 58,648.76
  5. Step 5: Solve for x
    x = 58,648.76/249.10
  6. Step 6: Final answer
    x = 235.44

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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.