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Finding the Fourth Proportional to 221.86, 304.24 and 199.96

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Solution

The fourth proportional to 221.86, 304.24 and 199.96 is: 274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.86 : 304.24 = 199.96 : x
  2. Step 2: Convert to fraction form
    221.86/304.24 = 199.96/x
  3. Step 3: Cross multiply
    221.86x = 304.24 × 199.96
  4. Step 4: Simplify right side
    221.86x = 60,834.83
  5. Step 5: Solve for x
    x = 60,834.83/221.86
  6. Step 6: Final answer
    x = 274.20

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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.