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Finding the Fourth Proportional to 208.68, 286.10 and 205.49

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Solution

The fourth proportional to 208.68, 286.10 and 205.49 is: 281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.68 : 286.10 = 205.49 : x
  2. Step 2: Convert to fraction form
    208.68/286.10 = 205.49/x
  3. Step 3: Cross multiply
    208.68x = 286.10 × 205.49
  4. Step 4: Simplify right side
    208.68x = 58,788.23
  5. Step 5: Solve for x
    x = 58,788.23/208.68
  6. Step 6: Final answer
    x = 281.71

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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.