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Finding the Fourth Proportional to 221.98, 333.20 and 135.41

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Solution

The fourth proportional to 221.98, 333.20 and 135.41 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.98 : 333.20 = 135.41 : x
  2. Step 2: Convert to fraction form
    221.98/333.20 = 135.41/x
  3. Step 3: Cross multiply
    221.98x = 333.20 × 135.41
  4. Step 4: Simplify right side
    221.98x = 45,118.61
  5. Step 5: Solve for x
    x = 45,118.61/221.98
  6. Step 6: Final answer
    x = 203.26

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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.