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Finding the Fourth Proportional to 132.50, 197.72 and 120.38

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Solution

The fourth proportional to 132.50, 197.72 and 120.38 is: 179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.50 : 197.72 = 120.38 : x
  2. Step 2: Convert to fraction form
    132.50/197.72 = 120.38/x
  3. Step 3: Cross multiply
    132.50x = 197.72 × 120.38
  4. Step 4: Simplify right side
    132.50x = 23,801.53
  5. Step 5: Solve for x
    x = 23,801.53/132.50
  6. Step 6: Final answer
    x = 179.63

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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.