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Finding the Fourth Proportional to 232.82, 350.19 and 204.02

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Solution

The fourth proportional to 232.82, 350.19 and 204.02 is: 306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.82 : 350.19 = 204.02 : x
  2. Step 2: Convert to fraction form
    232.82/350.19 = 204.02/x
  3. Step 3: Cross multiply
    232.82x = 350.19 × 204.02
  4. Step 4: Simplify right side
    232.82x = 71,445.76
  5. Step 5: Solve for x
    x = 71,445.76/232.82
  6. Step 6: Final answer
    x = 306.87

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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.