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Finding the Fourth Proportional to 230.95, 348.05 and 219.97

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Solution

The fourth proportional to 230.95, 348.05 and 219.97 is: 331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.95 : 348.05 = 219.97 : x
  2. Step 2: Convert to fraction form
    230.95/348.05 = 219.97/x
  3. Step 3: Cross multiply
    230.95x = 348.05 × 219.97
  4. Step 4: Simplify right side
    230.95x = 76,560.56
  5. Step 5: Solve for x
    x = 76,560.56/230.95
  6. Step 6: Final answer
    x = 331.50

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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.