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Finding the Fourth Proportional to 208.92, 286.72 and 205.32

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Solution

The fourth proportional to 208.92, 286.72 and 205.32 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.92 : 286.72 = 205.32 : x
  2. Step 2: Convert to fraction form
    208.92/286.72 = 205.32/x
  3. Step 3: Cross multiply
    208.92x = 286.72 × 205.32
  4. Step 4: Simplify right side
    208.92x = 58,869.35
  5. Step 5: Solve for x
    x = 58,869.35/208.92
  6. Step 6: Final answer
    x = 281.78

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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.