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Finding the Fourth Proportional to 180.44, 249.02 and 101.78

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Solution

The fourth proportional to 180.44, 249.02 and 101.78 is: 140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.44 : 249.02 = 101.78 : x
  2. Step 2: Convert to fraction form
    180.44/249.02 = 101.78/x
  3. Step 3: Cross multiply
    180.44x = 249.02 × 101.78
  4. Step 4: Simplify right side
    180.44x = 25,343.50
  5. Step 5: Solve for x
    x = 25,343.50/180.44
  6. Step 6: Final answer
    x = 140.45

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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.