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Finding the Fourth Proportional to 222.12, 333.28 and 92.22

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Solution

The fourth proportional to 222.12, 333.28 and 92.22 is: 138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 333.28 = 92.22 : x
  2. Step 2: Convert to fraction form
    222.12/333.28 = 92.22/x
  3. Step 3: Cross multiply
    222.12x = 333.28 × 92.22
  4. Step 4: Simplify right side
    222.12x = 30,733.42
  5. Step 5: Solve for x
    x = 30,733.42/222.12
  6. Step 6: Final answer
    x = 138.37

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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.