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Finding the Fourth Proportional to 132.80, 198.09 and 128.32

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Solution

The fourth proportional to 132.80, 198.09 and 128.32 is: 191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.80 : 198.09 = 128.32 : x
  2. Step 2: Convert to fraction form
    132.80/198.09 = 128.32/x
  3. Step 3: Cross multiply
    132.80x = 198.09 × 128.32
  4. Step 4: Simplify right side
    132.80x = 25,418.41
  5. Step 5: Solve for x
    x = 25,418.41/132.80
  6. Step 6: Final answer
    x = 191.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.