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Finding the Fourth Proportional to 133.60, 184.44 and 81.92

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Solution

The fourth proportional to 133.60, 184.44 and 81.92 is: 113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.60 : 184.44 = 81.92 : x
  2. Step 2: Convert to fraction form
    133.60/184.44 = 81.92/x
  3. Step 3: Cross multiply
    133.60x = 184.44 × 81.92
  4. Step 4: Simplify right side
    133.60x = 15,109.32
  5. Step 5: Solve for x
    x = 15,109.32/133.60
  6. Step 6: Final answer
    x = 113.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.