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Finding the Fourth Proportional to 221.86, 333.43 and 205.54

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Solution

The fourth proportional to 221.86, 333.43 and 205.54 is: 308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.86 : 333.43 = 205.54 : x
  2. Step 2: Convert to fraction form
    221.86/333.43 = 205.54/x
  3. Step 3: Cross multiply
    221.86x = 333.43 × 205.54
  4. Step 4: Simplify right side
    221.86x = 68,533.20
  5. Step 5: Solve for x
    x = 68,533.20/221.86
  6. Step 6: Final answer
    x = 308.90

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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.