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Finding the Fourth Proportional to 297.99, 411.39 and 199.92

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Solution

The fourth proportional to 297.99, 411.39 and 199.92 is: 276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.99 : 411.39 = 199.92 : x
  2. Step 2: Convert to fraction form
    297.99/411.39 = 199.92/x
  3. Step 3: Cross multiply
    297.99x = 411.39 × 199.92
  4. Step 4: Simplify right side
    297.99x = 82,245.09
  5. Step 5: Solve for x
    x = 82,245.09/297.99
  6. Step 6: Final answer
    x = 276.00

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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.