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Finding the Fourth Proportional to 232.72, 347.41 and 198.11

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Solution

The fourth proportional to 232.72, 347.41 and 198.11 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.72 : 347.41 = 198.11 : x
  2. Step 2: Convert to fraction form
    232.72/347.41 = 198.11/x
  3. Step 3: Cross multiply
    232.72x = 347.41 × 198.11
  4. Step 4: Simplify right side
    232.72x = 68,825.40
  5. Step 5: Solve for x
    x = 68,825.40/232.72
  6. Step 6: Final answer
    x = 295.74

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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.