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Finding the Fourth Proportional to 143.95, 198.64 and 81.80

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Solution

The fourth proportional to 143.95, 198.64 and 81.80 is: 112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.95 : 198.64 = 81.80 : x
  2. Step 2: Convert to fraction form
    143.95/198.64 = 81.80/x
  3. Step 3: Cross multiply
    143.95x = 198.64 × 81.80
  4. Step 4: Simplify right side
    143.95x = 16,247.76
  5. Step 5: Solve for x
    x = 16,247.76/143.95
  6. Step 6: Final answer
    x = 112.87

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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.