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Finding the Fourth Proportional to 195.40, 270.67 and 166.60

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Solution

The fourth proportional to 195.40, 270.67 and 166.60 is: 230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.40 : 270.67 = 166.60 : x
  2. Step 2: Convert to fraction form
    195.40/270.67 = 166.60/x
  3. Step 3: Cross multiply
    195.40x = 270.67 × 166.60
  4. Step 4: Simplify right side
    195.40x = 45,093.62
  5. Step 5: Solve for x
    x = 45,093.62/195.40
  6. Step 6: Final answer
    x = 230.78

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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.