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Finding the Fourth Proportional to 297.60, 411.09 and 232.95

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Solution

The fourth proportional to 297.60, 411.09 and 232.95 is: 321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.60 : 411.09 = 232.95 : x
  2. Step 2: Convert to fraction form
    297.60/411.09 = 232.95/x
  3. Step 3: Cross multiply
    297.60x = 411.09 × 232.95
  4. Step 4: Simplify right side
    297.60x = 95,763.42
  5. Step 5: Solve for x
    x = 95,763.42/297.60
  6. Step 6: Final answer
    x = 321.79

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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.