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Finding the Fourth Proportional to 226.03, 338.82 and 180.67

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Solution

The fourth proportional to 226.03, 338.82 and 180.67 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.03 : 338.82 = 180.67 : x
  2. Step 2: Convert to fraction form
    226.03/338.82 = 180.67/x
  3. Step 3: Cross multiply
    226.03x = 338.82 × 180.67
  4. Step 4: Simplify right side
    226.03x = 61,214.61
  5. Step 5: Solve for x
    x = 61,214.61/226.03
  6. Step 6: Final answer
    x = 270.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.