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Finding the Fourth Proportional to 165.94, 249.03 and 80.50

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Solution

The fourth proportional to 165.94, 249.03 and 80.50 is: 120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.94 : 249.03 = 80.50 : x
  2. Step 2: Convert to fraction form
    165.94/249.03 = 80.50/x
  3. Step 3: Cross multiply
    165.94x = 249.03 × 80.50
  4. Step 4: Simplify right side
    165.94x = 20,046.92
  5. Step 5: Solve for x
    x = 20,046.92/165.94
  6. Step 6: Final answer
    x = 120.81

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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.