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Finding the Fourth Proportional to 195.33, 267.39 and 189.12

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Solution

The fourth proportional to 195.33, 267.39 and 189.12 is: 258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.33 : 267.39 = 189.12 : x
  2. Step 2: Convert to fraction form
    195.33/267.39 = 189.12/x
  3. Step 3: Cross multiply
    195.33x = 267.39 × 189.12
  4. Step 4: Simplify right side
    195.33x = 50,568.80
  5. Step 5: Solve for x
    x = 50,568.80/195.33
  6. Step 6: Final answer
    x = 258.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.