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Finding the Fourth Proportional to 195.33, 269.67 and 140.25

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Solution

The fourth proportional to 195.33, 269.67 and 140.25 is: 193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.33 : 269.67 = 140.25 : x
  2. Step 2: Convert to fraction form
    195.33/269.67 = 140.25/x
  3. Step 3: Cross multiply
    195.33x = 269.67 × 140.25
  4. Step 4: Simplify right side
    195.33x = 37,821.22
  5. Step 5: Solve for x
    x = 37,821.22/195.33
  6. Step 6: Final answer
    x = 193.63

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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.