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Finding the Fourth Proportional to 222.12, 304.87 and 198.29

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Solution

The fourth proportional to 222.12, 304.87 and 198.29 is: 272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 304.87 = 198.29 : x
  2. Step 2: Convert to fraction form
    222.12/304.87 = 198.29/x
  3. Step 3: Cross multiply
    222.12x = 304.87 × 198.29
  4. Step 4: Simplify right side
    222.12x = 60,452.67
  5. Step 5: Solve for x
    x = 60,452.67/222.12
  6. Step 6: Final answer
    x = 272.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.