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Finding the Fourth Proportional to 249.92, 345.02 and 191.96

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Solution

The fourth proportional to 249.92, 345.02 and 191.96 is: 265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.92 : 345.02 = 191.96 : x
  2. Step 2: Convert to fraction form
    249.92/345.02 = 191.96/x
  3. Step 3: Cross multiply
    249.92x = 345.02 × 191.96
  4. Step 4: Simplify right side
    249.92x = 66,230.04
  5. Step 5: Solve for x
    x = 66,230.04/249.92
  6. Step 6: Final answer
    x = 265.00

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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.