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Finding the Fourth Proportional to 221.98, 331.27 and 197.68

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Solution

The fourth proportional to 221.98, 331.27 and 197.68 is: 295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.98 : 331.27 = 197.68 : x
  2. Step 2: Convert to fraction form
    221.98/331.27 = 197.68/x
  3. Step 3: Cross multiply
    221.98x = 331.27 × 197.68
  4. Step 4: Simplify right side
    221.98x = 65,485.45
  5. Step 5: Solve for x
    x = 65,485.45/221.98
  6. Step 6: Final answer
    x = 295.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.