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Finding the Fourth Proportional to 232.95, 351.08 and 221.97

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Solution

The fourth proportional to 232.95, 351.08 and 221.97 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.95 : 351.08 = 221.97 : x
  2. Step 2: Convert to fraction form
    232.95/351.08 = 221.97/x
  3. Step 3: Cross multiply
    232.95x = 351.08 × 221.97
  4. Step 4: Simplify right side
    232.95x = 77,928.12
  5. Step 5: Solve for x
    x = 77,928.12/232.95
  6. Step 6: Final answer
    x = 334.53

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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.