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Finding the Fourth Proportional to 249.70, 344.86 and 167.19

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Solution

The fourth proportional to 249.70, 344.86 and 167.19 is: 230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.70 : 344.86 = 167.19 : x
  2. Step 2: Convert to fraction form
    249.70/344.86 = 167.19/x
  3. Step 3: Cross multiply
    249.70x = 344.86 × 167.19
  4. Step 4: Simplify right side
    249.70x = 57,657.14
  5. Step 5: Solve for x
    x = 57,657.14/249.70
  6. Step 6: Final answer
    x = 230.91

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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.