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Finding the Fourth Proportional to 221.20, 303.55 and 217.86

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Solution

The fourth proportional to 221.20, 303.55 and 217.86 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.20 : 303.55 = 217.86 : x
  2. Step 2: Convert to fraction form
    221.20/303.55 = 217.86/x
  3. Step 3: Cross multiply
    221.20x = 303.55 × 217.86
  4. Step 4: Simplify right side
    221.20x = 66,129.72
  5. Step 5: Solve for x
    x = 66,129.72/221.20
  6. Step 6: Final answer
    x = 298.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.