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Finding the Fourth Proportional to 361.98, 499.49 and 222.10

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Solution

The fourth proportional to 361.98, 499.49 and 222.10 is: 306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 499.49 = 222.10 : x
  2. Step 2: Convert to fraction form
    361.98/499.49 = 222.10/x
  3. Step 3: Cross multiply
    361.98x = 499.49 × 222.10
  4. Step 4: Simplify right side
    361.98x = 110,937.23
  5. Step 5: Solve for x
    x = 110,937.23/361.98
  6. Step 6: Final answer
    x = 306.48

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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.