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Finding the Fourth Proportional to 206.91, 284.09 and 201.55

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Solution

The fourth proportional to 206.91, 284.09 and 201.55 is: 276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.91 : 284.09 = 201.55 : x
  2. Step 2: Convert to fraction form
    206.91/284.09 = 201.55/x
  3. Step 3: Cross multiply
    206.91x = 284.09 × 201.55
  4. Step 4: Simplify right side
    206.91x = 57,258.34
  5. Step 5: Solve for x
    x = 57,258.34/206.91
  6. Step 6: Final answer
    x = 276.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.