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Finding the Fourth Proportional to 232.75, 347.50 and 198.53

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Solution

The fourth proportional to 232.75, 347.50 and 198.53 is: 296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.75 : 347.50 = 198.53 : x
  2. Step 2: Convert to fraction form
    232.75/347.50 = 198.53/x
  3. Step 3: Cross multiply
    232.75x = 347.50 × 198.53
  4. Step 4: Simplify right side
    232.75x = 68,989.18
  5. Step 5: Solve for x
    x = 68,989.18/232.75
  6. Step 6: Final answer
    x = 296.41

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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.