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Finding the Fourth Proportional to 221.42, 331.86 and 91.37

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Solution

The fourth proportional to 221.42, 331.86 and 91.37 is: 136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.42 : 331.86 = 91.37 : x
  2. Step 2: Convert to fraction form
    221.42/331.86 = 91.37/x
  3. Step 3: Cross multiply
    221.42x = 331.86 × 91.37
  4. Step 4: Simplify right side
    221.42x = 30,323.22
  5. Step 5: Solve for x
    x = 30,323.22/221.42
  6. Step 6: Final answer
    x = 136.95

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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.