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Finding the Fourth Proportional to 132.80, 199.11 and 51.66

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Solution

The fourth proportional to 132.80, 199.11 and 51.66 is: 77.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.80 : 199.11 = 51.66 : x
  2. Step 2: Convert to fraction form
    132.80/199.11 = 51.66/x
  3. Step 3: Cross multiply
    132.80x = 199.11 × 51.66
  4. Step 4: Simplify right side
    132.80x = 10,286.02
  5. Step 5: Solve for x
    x = 10,286.02/132.80
  6. Step 6: Final answer
    x = 77.46

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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.