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Finding the Fourth Proportional to 132.02, 197.85 and 77.80

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Solution

The fourth proportional to 132.02, 197.85 and 77.80 is: 116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.02 : 197.85 = 77.80 : x
  2. Step 2: Convert to fraction form
    132.02/197.85 = 77.80/x
  3. Step 3: Cross multiply
    132.02x = 197.85 × 77.80
  4. Step 4: Simplify right side
    132.02x = 15,392.73
  5. Step 5: Solve for x
    x = 15,392.73/132.02
  6. Step 6: Final answer
    x = 116.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.