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Finding the Fourth Proportional to 132.54, 197.76 and 121.02

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Solution

The fourth proportional to 132.54, 197.76 and 121.02 is: 180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.54 : 197.76 = 121.02 : x
  2. Step 2: Convert to fraction form
    132.54/197.76 = 121.02/x
  3. Step 3: Cross multiply
    132.54x = 197.76 × 121.02
  4. Step 4: Simplify right side
    132.54x = 23,932.92
  5. Step 5: Solve for x
    x = 23,932.92/132.54
  6. Step 6: Final answer
    x = 180.57

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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.