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Finding the Fourth Proportional to 331.05, 496.34 and 222.62

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Solution

The fourth proportional to 331.05, 496.34 and 222.62 is: 333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.05 : 496.34 = 222.62 : x
  2. Step 2: Convert to fraction form
    331.05/496.34 = 222.62/x
  3. Step 3: Cross multiply
    331.05x = 496.34 × 222.62
  4. Step 4: Simplify right side
    331.05x = 110,492.45
  5. Step 5: Solve for x
    x = 110,492.45/331.05
  6. Step 6: Final answer
    x = 333.76

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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.