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Finding the Fourth Proportional to 140.98, 194.52 and 82.78

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Solution

The fourth proportional to 140.98, 194.52 and 82.78 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.98 : 194.52 = 82.78 : x
  2. Step 2: Convert to fraction form
    140.98/194.52 = 82.78/x
  3. Step 3: Cross multiply
    140.98x = 194.52 × 82.78
  4. Step 4: Simplify right side
    140.98x = 16,102.37
  5. Step 5: Solve for x
    x = 16,102.37/140.98
  6. Step 6: Final answer
    x = 114.22

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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.