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Finding the Fourth Proportional to 206.87, 287.40 and 204.96

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Solution

The fourth proportional to 206.87, 287.40 and 204.96 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.87 : 287.40 = 204.96 : x
  2. Step 2: Convert to fraction form
    206.87/287.40 = 204.96/x
  3. Step 3: Cross multiply
    206.87x = 287.40 × 204.96
  4. Step 4: Simplify right side
    206.87x = 58,905.50
  5. Step 5: Solve for x
    x = 58,905.50/206.87
  6. Step 6: Final answer
    x = 284.74

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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.