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Finding the Fourth Proportional to 180.77, 249.34 and 125.44

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Solution

The fourth proportional to 180.77, 249.34 and 125.44 is: 173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.77 : 249.34 = 125.44 : x
  2. Step 2: Convert to fraction form
    180.77/249.34 = 125.44/x
  3. Step 3: Cross multiply
    180.77x = 249.34 × 125.44
  4. Step 4: Simplify right side
    180.77x = 31,277.21
  5. Step 5: Solve for x
    x = 31,277.21/180.77
  6. Step 6: Final answer
    x = 173.02

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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.