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Finding the Fourth Proportional to 207.11, 283.56 and 205.13

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Solution

The fourth proportional to 207.11, 283.56 and 205.13 is: 280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.11 : 283.56 = 205.13 : x
  2. Step 2: Convert to fraction form
    207.11/283.56 = 205.13/x
  3. Step 3: Cross multiply
    207.11x = 283.56 × 205.13
  4. Step 4: Simplify right side
    207.11x = 58,166.66
  5. Step 5: Solve for x
    x = 58,166.66/207.11
  6. Step 6: Final answer
    x = 280.85

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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.