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Finding the Fourth Proportional to 144.02, 198.77 and 81.85

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Solution

The fourth proportional to 144.02, 198.77 and 81.85 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.02 : 198.77 = 81.85 : x
  2. Step 2: Convert to fraction form
    144.02/198.77 = 81.85/x
  3. Step 3: Cross multiply
    144.02x = 198.77 × 81.85
  4. Step 4: Simplify right side
    144.02x = 16,269.32
  5. Step 5: Solve for x
    x = 16,269.32/144.02
  6. Step 6: Final answer
    x = 112.97

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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.