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Finding the Fourth Proportional to 143.82, 195.93 and 140.85

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Solution

The fourth proportional to 143.82, 195.93 and 140.85 is: 191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.82 : 195.93 = 140.85 : x
  2. Step 2: Convert to fraction form
    143.82/195.93 = 140.85/x
  3. Step 3: Cross multiply
    143.82x = 195.93 × 140.85
  4. Step 4: Simplify right side
    143.82x = 27,596.74
  5. Step 5: Solve for x
    x = 27,596.74/143.82
  6. Step 6: Final answer
    x = 191.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.