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Finding the Fourth Proportional to 205.80, 282.17 and 202.60

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Solution

The fourth proportional to 205.80, 282.17 and 202.60 is: 277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 282.17 = 202.60 : x
  2. Step 2: Convert to fraction form
    205.80/282.17 = 202.60/x
  3. Step 3: Cross multiply
    205.80x = 282.17 × 202.60
  4. Step 4: Simplify right side
    205.80x = 57,167.64
  5. Step 5: Solve for x
    x = 57,167.64/205.80
  6. Step 6: Final answer
    x = 277.78

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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.