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Finding the Fourth Proportional to 133.38, 199.80 and 82.05

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Solution

The fourth proportional to 133.38, 199.80 and 82.05 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.38 : 199.80 = 82.05 : x
  2. Step 2: Convert to fraction form
    133.38/199.80 = 82.05/x
  3. Step 3: Cross multiply
    133.38x = 199.80 × 82.05
  4. Step 4: Simplify right side
    133.38x = 16,393.59
  5. Step 5: Solve for x
    x = 16,393.59/133.38
  6. Step 6: Final answer
    x = 122.91

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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.