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Finding the Fourth Proportional to 180.57, 249.27 and 169.77

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Solution

The fourth proportional to 180.57, 249.27 and 169.77 is: 234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.57 : 249.27 = 169.77 : x
  2. Step 2: Convert to fraction form
    180.57/249.27 = 169.77/x
  3. Step 3: Cross multiply
    180.57x = 249.27 × 169.77
  4. Step 4: Simplify right side
    180.57x = 42,318.57
  5. Step 5: Solve for x
    x = 42,318.57/180.57
  6. Step 6: Final answer
    x = 234.36

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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.