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Finding the Fourth Proportional to 232.88, 320.67 and 205.11

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Solution

The fourth proportional to 232.88, 320.67 and 205.11 is: 282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 320.67 = 205.11 : x
  2. Step 2: Convert to fraction form
    232.88/320.67 = 205.11/x
  3. Step 3: Cross multiply
    232.88x = 320.67 × 205.11
  4. Step 4: Simplify right side
    232.88x = 65,772.62
  5. Step 5: Solve for x
    x = 65,772.62/232.88
  6. Step 6: Final answer
    x = 282.44

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Why These Related Problems?

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