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Finding the Fourth Proportional to 205.25, 283.26 and 116.73

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Solution

The fourth proportional to 205.25, 283.26 and 116.73 is: 161.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.25 : 283.26 = 116.73 : x
  2. Step 2: Convert to fraction form
    205.25/283.26 = 116.73/x
  3. Step 3: Cross multiply
    205.25x = 283.26 × 116.73
  4. Step 4: Simplify right side
    205.25x = 33,062.94
  5. Step 5: Solve for x
    x = 33,062.94/205.25
  6. Step 6: Final answer
    x = 161.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.