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Finding the Fourth Proportional to 140.44, 193.81 and 82.25

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Solution

The fourth proportional to 140.44, 193.81 and 82.25 is: 113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.44 : 193.81 = 82.25 : x
  2. Step 2: Convert to fraction form
    140.44/193.81 = 82.25/x
  3. Step 3: Cross multiply
    140.44x = 193.81 × 82.25
  4. Step 4: Simplify right side
    140.44x = 15,940.87
  5. Step 5: Solve for x
    x = 15,940.87/140.44
  6. Step 6: Final answer
    x = 113.51

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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.