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Finding the Fourth Proportional to 165.93, 249.14 and 120.43

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Solution

The fourth proportional to 165.93, 249.14 and 120.43 is: 180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.93 : 249.14 = 120.43 : x
  2. Step 2: Convert to fraction form
    165.93/249.14 = 120.43/x
  3. Step 3: Cross multiply
    165.93x = 249.14 × 120.43
  4. Step 4: Simplify right side
    165.93x = 30,003.93
  5. Step 5: Solve for x
    x = 30,003.93/165.93
  6. Step 6: Final answer
    x = 180.82

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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.