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Finding the Fourth Proportional to 180.98, 249.78 and 103.37

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Solution

The fourth proportional to 180.98, 249.78 and 103.37 is: 142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 249.78 = 103.37 : x
  2. Step 2: Convert to fraction form
    180.98/249.78 = 103.37/x
  3. Step 3: Cross multiply
    180.98x = 249.78 × 103.37
  4. Step 4: Simplify right side
    180.98x = 25,819.76
  5. Step 5: Solve for x
    x = 25,819.76/180.98
  6. Step 6: Final answer
    x = 142.67

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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.