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Finding the Fourth Proportional to 132.15, 195.97 and 130.33

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Solution

The fourth proportional to 132.15, 195.97 and 130.33 is: 193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.15 : 195.97 = 130.33 : x
  2. Step 2: Convert to fraction form
    132.15/195.97 = 130.33/x
  3. Step 3: Cross multiply
    132.15x = 195.97 × 130.33
  4. Step 4: Simplify right side
    132.15x = 25,540.77
  5. Step 5: Solve for x
    x = 25,540.77/132.15
  6. Step 6: Final answer
    x = 193.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.