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Finding the Fourth Proportional to 185.30, 255.86 and 143.78

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Solution

The fourth proportional to 185.30, 255.86 and 143.78 is: 198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.30 : 255.86 = 143.78 : x
  2. Step 2: Convert to fraction form
    185.30/255.86 = 143.78/x
  3. Step 3: Cross multiply
    185.30x = 255.86 × 143.78
  4. Step 4: Simplify right side
    185.30x = 36,787.55
  5. Step 5: Solve for x
    x = 36,787.55/185.30
  6. Step 6: Final answer
    x = 198.53

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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.