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Finding the Fourth Proportional to 222.11, 305.75 and 191.44

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Solution

The fourth proportional to 222.11, 305.75 and 191.44 is: 263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.11 : 305.75 = 191.44 : x
  2. Step 2: Convert to fraction form
    222.11/305.75 = 191.44/x
  3. Step 3: Cross multiply
    222.11x = 305.75 × 191.44
  4. Step 4: Simplify right side
    222.11x = 58,532.49
  5. Step 5: Solve for x
    x = 58,532.49/222.11
  6. Step 6: Final answer
    x = 263.54

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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.