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Finding the Fourth Proportional to 222.28, 305.11 and 197.16

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Solution

The fourth proportional to 222.28, 305.11 and 197.16 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.28 : 305.11 = 197.16 : x
  2. Step 2: Convert to fraction form
    222.28/305.11 = 197.16/x
  3. Step 3: Cross multiply
    222.28x = 305.11 × 197.16
  4. Step 4: Simplify right side
    222.28x = 60,155.49
  5. Step 5: Solve for x
    x = 60,155.49/222.28
  6. Step 6: Final answer
    x = 270.63

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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.