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Finding the Fourth Proportional to 132.05, 196.97 and 120.95

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Solution

The fourth proportional to 132.05, 196.97 and 120.95 is: 180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.05 : 196.97 = 120.95 : x
  2. Step 2: Convert to fraction form
    132.05/196.97 = 120.95/x
  3. Step 3: Cross multiply
    132.05x = 196.97 × 120.95
  4. Step 4: Simplify right side
    132.05x = 23,823.52
  5. Step 5: Solve for x
    x = 23,823.52/132.05
  6. Step 6: Final answer
    x = 180.41

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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.