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Finding the Fourth Proportional to 222.27, 305.10 and 197.16

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Solution

The fourth proportional to 222.27, 305.10 and 197.16 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.27 : 305.10 = 197.16 : x
  2. Step 2: Convert to fraction form
    222.27/305.10 = 197.16/x
  3. Step 3: Cross multiply
    222.27x = 305.10 × 197.16
  4. Step 4: Simplify right side
    222.27x = 60,153.52
  5. Step 5: Solve for x
    x = 60,153.52/222.27
  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.