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Finding the Fourth Proportional to 232.97, 351.16 and 218.66

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Solution

The fourth proportional to 232.97, 351.16 and 218.66 is: 329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.97 : 351.16 = 218.66 : x
  2. Step 2: Convert to fraction form
    232.97/351.16 = 218.66/x
  3. Step 3: Cross multiply
    232.97x = 351.16 × 218.66
  4. Step 4: Simplify right side
    232.97x = 76,782.34
  5. Step 5: Solve for x
    x = 76,782.34/232.97
  6. Step 6: Final answer
    x = 329.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.