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Finding the Fourth Proportional to 224.22, 333.44 and 221.82

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Solution

The fourth proportional to 224.22, 333.44 and 221.82 is: 329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.22 : 333.44 = 221.82 : x
  2. Step 2: Convert to fraction form
    224.22/333.44 = 221.82/x
  3. Step 3: Cross multiply
    224.22x = 333.44 × 221.82
  4. Step 4: Simplify right side
    224.22x = 73,962.55
  5. Step 5: Solve for x
    x = 73,962.55/224.22
  6. Step 6: Final answer
    x = 329.87

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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.