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Finding the Fourth Proportional to 132.68, 197.55 and 130.73

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Solution

The fourth proportional to 132.68, 197.55 and 130.73 is: 194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.68 : 197.55 = 130.73 : x
  2. Step 2: Convert to fraction form
    132.68/197.55 = 130.73/x
  3. Step 3: Cross multiply
    132.68x = 197.55 × 130.73
  4. Step 4: Simplify right side
    132.68x = 25,824.72
  5. Step 5: Solve for x
    x = 25,824.72/132.68
  6. Step 6: Final answer
    x = 194.64

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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.