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Finding the Fourth Proportional to 205.68, 281.42 and 204.83

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Solution

The fourth proportional to 205.68, 281.42 and 204.83 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.68 : 281.42 = 204.83 : x
  2. Step 2: Convert to fraction form
    205.68/281.42 = 204.83/x
  3. Step 3: Cross multiply
    205.68x = 281.42 × 204.83
  4. Step 4: Simplify right side
    205.68x = 57,640.83
  5. Step 5: Solve for x
    x = 57,640.83/205.68
  6. Step 6: Final answer
    x = 280.25

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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.