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Finding the Fourth Proportional to 180.52, 249.09 and 101.83

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Solution

The fourth proportional to 180.52, 249.09 and 101.83 is: 140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.52 : 249.09 = 101.83 : x
  2. Step 2: Convert to fraction form
    180.52/249.09 = 101.83/x
  3. Step 3: Cross multiply
    180.52x = 249.09 × 101.83
  4. Step 4: Simplify right side
    180.52x = 25,365.14
  5. Step 5: Solve for x
    x = 25,365.14/180.52
  6. Step 6: Final answer
    x = 140.51

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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.