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Finding the Fourth Proportional to 232.72, 347.42 and 198.12

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Solution

The fourth proportional to 232.72, 347.42 and 198.12 is: 295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.72 : 347.42 = 198.12 : x
  2. Step 2: Convert to fraction form
    232.72/347.42 = 198.12/x
  3. Step 3: Cross multiply
    232.72x = 347.42 × 198.12
  4. Step 4: Simplify right side
    232.72x = 68,830.85
  5. Step 5: Solve for x
    x = 68,830.85/232.72
  6. Step 6: Final answer
    x = 295.77

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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.