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Finding the Fourth Proportional to 286.46, 396.04 and 199.78

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Solution

The fourth proportional to 286.46, 396.04 and 199.78 is: 276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.46 : 396.04 = 199.78 : x
  2. Step 2: Convert to fraction form
    286.46/396.04 = 199.78/x
  3. Step 3: Cross multiply
    286.46x = 396.04 × 199.78
  4. Step 4: Simplify right side
    286.46x = 79,120.87
  5. Step 5: Solve for x
    x = 79,120.87/286.46
  6. Step 6: Final answer
    x = 276.20

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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.