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Finding the Fourth Proportional to 209.80, 286.85 and 204.04

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Solution

The fourth proportional to 209.80, 286.85 and 204.04 is: 278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.80 : 286.85 = 204.04 : x
  2. Step 2: Convert to fraction form
    209.80/286.85 = 204.04/x
  3. Step 3: Cross multiply
    209.80x = 286.85 × 204.04
  4. Step 4: Simplify right side
    209.80x = 58,528.87
  5. Step 5: Solve for x
    x = 58,528.87/209.80
  6. Step 6: Final answer
    x = 278.97

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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.