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Finding the Fourth Proportional to 209.13, 286.04 and 205.77

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Solution

The fourth proportional to 209.13, 286.04 and 205.77 is: 281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.13 : 286.04 = 205.77 : x
  2. Step 2: Convert to fraction form
    209.13/286.04 = 205.77/x
  3. Step 3: Cross multiply
    209.13x = 286.04 × 205.77
  4. Step 4: Simplify right side
    209.13x = 58,858.97
  5. Step 5: Solve for x
    x = 58,858.97/209.13
  6. Step 6: Final answer
    x = 281.45

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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.