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Finding the Fourth Proportional to 331.62, 496.79 and 223.46

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Solution

The fourth proportional to 331.62, 496.79 and 223.46 is: 334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.62 : 496.79 = 223.46 : x
  2. Step 2: Convert to fraction form
    331.62/496.79 = 223.46/x
  3. Step 3: Cross multiply
    331.62x = 496.79 × 223.46
  4. Step 4: Simplify right side
    331.62x = 111,012.69
  5. Step 5: Solve for x
    x = 111,012.69/331.62
  6. Step 6: Final answer
    x = 334.76

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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.