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Finding the Fourth Proportional to 249.97, 375.20 and 121.81

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Solution

The fourth proportional to 249.97, 375.20 and 121.81 is: 182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.97 : 375.20 = 121.81 : x
  2. Step 2: Convert to fraction form
    249.97/375.20 = 121.81/x
  3. Step 3: Cross multiply
    249.97x = 375.20 × 121.81
  4. Step 4: Simplify right side
    249.97x = 45,703.11
  5. Step 5: Solve for x
    x = 45,703.11/249.97
  6. Step 6: Final answer
    x = 182.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.