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Finding the Fourth Proportional to 297.97, 411.31 and 199.69

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Solution

The fourth proportional to 297.97, 411.31 and 199.69 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.97 : 411.31 = 199.69 : x
  2. Step 2: Convert to fraction form
    297.97/411.31 = 199.69/x
  3. Step 3: Cross multiply
    297.97x = 411.31 × 199.69
  4. Step 4: Simplify right side
    297.97x = 82,134.49
  5. Step 5: Solve for x
    x = 82,134.49/297.97
  6. Step 6: Final answer
    x = 275.65

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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.