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Finding the Fourth Proportional to 331.19, 496.83 and 222.75

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Solution

The fourth proportional to 331.19, 496.83 and 222.75 is: 334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.19 : 496.83 = 222.75 : x
  2. Step 2: Convert to fraction form
    331.19/496.83 = 222.75/x
  3. Step 3: Cross multiply
    331.19x = 496.83 × 222.75
  4. Step 4: Simplify right side
    331.19x = 110,669.72
  5. Step 5: Solve for x
    x = 110,669.72/331.19
  6. Step 6: Final answer
    x = 334.16

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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.