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Finding the Fourth Proportional to 195.67, 270.17 and 130.33

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Solution

The fourth proportional to 195.67, 270.17 and 130.33 is: 179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.67 : 270.17 = 130.33 : x
  2. Step 2: Convert to fraction form
    195.67/270.17 = 130.33/x
  3. Step 3: Cross multiply
    195.67x = 270.17 × 130.33
  4. Step 4: Simplify right side
    195.67x = 35,211.26
  5. Step 5: Solve for x
    x = 35,211.26/195.67
  6. Step 6: Final answer
    x = 179.95

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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.