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Finding the Fourth Proportional to 133.36, 199.92 and 82

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Solution

The fourth proportional to 133.36, 199.92 and 82 is: 122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.36 : 199.92 = 82 : x
  2. Step 2: Convert to fraction form
    133.36/199.92 = 82/x
  3. Step 3: Cross multiply
    133.36x = 199.92 × 82
  4. Step 4: Simplify right side
    133.36x = 16,393.44
  5. Step 5: Solve for x
    x = 16,393.44/133.36
  6. Step 6: Final answer
    x = 122.93

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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.