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Finding the Fourth Proportional to 232.30, 320.84 and 167.09

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Solution

The fourth proportional to 232.30, 320.84 and 167.09 is: 230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.30 : 320.84 = 167.09 : x
  2. Step 2: Convert to fraction form
    232.30/320.84 = 167.09/x
  3. Step 3: Cross multiply
    232.30x = 320.84 × 167.09
  4. Step 4: Simplify right side
    232.30x = 53,609.57
  5. Step 5: Solve for x
    x = 53,609.57/232.30
  6. Step 6: Final answer
    x = 230.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.