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Finding the Fourth Proportional to 232.31, 348.06 and 197.75

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Solution

The fourth proportional to 232.31, 348.06 and 197.75 is: 296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.31 : 348.06 = 197.75 : x
  2. Step 2: Convert to fraction form
    232.31/348.06 = 197.75/x
  3. Step 3: Cross multiply
    232.31x = 348.06 × 197.75
  4. Step 4: Simplify right side
    232.31x = 68,828.87
  5. Step 5: Solve for x
    x = 68,828.87/232.31
  6. Step 6: Final answer
    x = 296.28

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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.