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Finding the Fourth Proportional to 185.54, 255.44 and 160.97

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Solution

The fourth proportional to 185.54, 255.44 and 160.97 is: 221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.54 : 255.44 = 160.97 : x
  2. Step 2: Convert to fraction form
    185.54/255.44 = 160.97/x
  3. Step 3: Cross multiply
    185.54x = 255.44 × 160.97
  4. Step 4: Simplify right side
    185.54x = 41,117.30
  5. Step 5: Solve for x
    x = 41,117.30/185.54
  6. Step 6: Final answer
    x = 221.61

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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.