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Finding the Fourth Proportional to 185.73, 255.78 and 144.21

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Solution

The fourth proportional to 185.73, 255.78 and 144.21 is: 198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.73 : 255.78 = 144.21 : x
  2. Step 2: Convert to fraction form
    185.73/255.78 = 144.21/x
  3. Step 3: Cross multiply
    185.73x = 255.78 × 144.21
  4. Step 4: Simplify right side
    185.73x = 36,886.03
  5. Step 5: Solve for x
    x = 36,886.03/185.73
  6. Step 6: Final answer
    x = 198.60

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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.