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Finding the Fourth Proportional to 206.87, 286.65 and 204.26

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Solution

The fourth proportional to 206.87, 286.65 and 204.26 is: 283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.87 : 286.65 = 204.26 : x
  2. Step 2: Convert to fraction form
    206.87/286.65 = 204.26/x
  3. Step 3: Cross multiply
    206.87x = 286.65 × 204.26
  4. Step 4: Simplify right side
    206.87x = 58,549.70
  5. Step 5: Solve for x
    x = 58,549.70/206.87
  6. Step 6: Final answer
    x = 283.03

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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.