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Finding the Fourth Proportional to 195.40, 269.55 and 133.23

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Solution

The fourth proportional to 195.40, 269.55 and 133.23 is: 183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.40 : 269.55 = 133.23 : x
  2. Step 2: Convert to fraction form
    195.40/269.55 = 133.23/x
  3. Step 3: Cross multiply
    195.40x = 269.55 × 133.23
  4. Step 4: Simplify right side
    195.40x = 35,912.15
  5. Step 5: Solve for x
    x = 35,912.15/195.40
  6. Step 6: Final answer
    x = 183.79

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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.