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Finding the Fourth Proportional to 140.78, 195.62 and 139.28

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Solution

The fourth proportional to 140.78, 195.62 and 139.28 is: 193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.78 : 195.62 = 139.28 : x
  2. Step 2: Convert to fraction form
    140.78/195.62 = 139.28/x
  3. Step 3: Cross multiply
    140.78x = 195.62 × 139.28
  4. Step 4: Simplify right side
    140.78x = 27,245.95
  5. Step 5: Solve for x
    x = 27,245.95/140.78
  6. Step 6: Final answer
    x = 193.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.