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Finding the Fourth Proportional to 232.86, 347.97 and 205.12

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Solution

The fourth proportional to 232.86, 347.97 and 205.12 is: 306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.86 : 347.97 = 205.12 : x
  2. Step 2: Convert to fraction form
    232.86/347.97 = 205.12/x
  3. Step 3: Cross multiply
    232.86x = 347.97 × 205.12
  4. Step 4: Simplify right side
    232.86x = 71,375.61
  5. Step 5: Solve for x
    x = 71,375.61/232.86
  6. Step 6: Final answer
    x = 306.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.