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Finding the Fourth Proportional to 143.60, 198.15 and 83.78

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Solution

The fourth proportional to 143.60, 198.15 and 83.78 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.60 : 198.15 = 83.78 : x
  2. Step 2: Convert to fraction form
    143.60/198.15 = 83.78/x
  3. Step 3: Cross multiply
    143.60x = 198.15 × 83.78
  4. Step 4: Simplify right side
    143.60x = 16,600.45
  5. Step 5: Solve for x
    x = 16,600.45/143.60
  6. Step 6: Final answer
    x = 115.61

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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.