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Finding the Fourth Proportional to 132.54, 199.97 and 129.80

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Solution

The fourth proportional to 132.54, 199.97 and 129.80 is: 195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.54 : 199.97 = 129.80 : x
  2. Step 2: Convert to fraction form
    132.54/199.97 = 129.80/x
  3. Step 3: Cross multiply
    132.54x = 199.97 × 129.80
  4. Step 4: Simplify right side
    132.54x = 25,956.44
  5. Step 5: Solve for x
    x = 25,956.44/132.54
  6. Step 6: Final answer
    x = 195.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.