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Finding the Fourth Proportional to 361.96, 499.38 and 222.04

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Solution

The fourth proportional to 361.96, 499.38 and 222.04 is: 306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.96 : 499.38 = 222.04 : x
  2. Step 2: Convert to fraction form
    361.96/499.38 = 222.04/x
  3. Step 3: Cross multiply
    361.96x = 499.38 × 222.04
  4. Step 4: Simplify right side
    361.96x = 110,882.34
  5. Step 5: Solve for x
    x = 110,882.34/361.96
  6. Step 6: Final answer
    x = 306.34

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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.