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Finding the Fourth Proportional to 132.20, 197.00 and 127.84

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Solution

The fourth proportional to 132.20, 197.00 and 127.84 is: 190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.20 : 197.00 = 127.84 : x
  2. Step 2: Convert to fraction form
    132.20/197.00 = 127.84/x
  3. Step 3: Cross multiply
    132.20x = 197.00 × 127.84
  4. Step 4: Simplify right side
    132.20x = 25,183.84
  5. Step 5: Solve for x
    x = 25,183.84/132.20
  6. Step 6: Final answer
    x = 190.51

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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.