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Finding the Fourth Proportional to 206.90, 286.94 and 199.61

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Solution

The fourth proportional to 206.90, 286.94 and 199.61 is: 276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.90 : 286.94 = 199.61 : x
  2. Step 2: Convert to fraction form
    206.90/286.94 = 199.61/x
  3. Step 3: Cross multiply
    206.90x = 286.94 × 199.61
  4. Step 4: Simplify right side
    206.90x = 57,273.66
  5. Step 5: Solve for x
    x = 57,273.66/206.90
  6. Step 6: Final answer
    x = 276.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.