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Finding the Fourth Proportional to 206.32, 286.44 and 200.38

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Solution

The fourth proportional to 206.32, 286.44 and 200.38 is: 278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.32 : 286.44 = 200.38 : x
  2. Step 2: Convert to fraction form
    206.32/286.44 = 200.38/x
  3. Step 3: Cross multiply
    206.32x = 286.44 × 200.38
  4. Step 4: Simplify right side
    206.32x = 57,396.85
  5. Step 5: Solve for x
    x = 57,396.85/206.32
  6. Step 6: Final answer
    x = 278.19

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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.