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Finding the Fourth Proportional to 286.92, 396.11 and 198.90

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Solution

The fourth proportional to 286.92, 396.11 and 198.90 is: 274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.92 : 396.11 = 198.90 : x
  2. Step 2: Convert to fraction form
    286.92/396.11 = 198.90/x
  3. Step 3: Cross multiply
    286.92x = 396.11 × 198.90
  4. Step 4: Simplify right side
    286.92x = 78,785.28
  5. Step 5: Solve for x
    x = 78,785.28/286.92
  6. Step 6: Final answer
    x = 274.59

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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.