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Finding the Fourth Proportional to 221.93, 331.02 and 209.24

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Solution

The fourth proportional to 221.93, 331.02 and 209.24 is: 312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.93 : 331.02 = 209.24 : x
  2. Step 2: Convert to fraction form
    221.93/331.02 = 209.24/x
  3. Step 3: Cross multiply
    221.93x = 331.02 × 209.24
  4. Step 4: Simplify right side
    221.93x = 69,262.62
  5. Step 5: Solve for x
    x = 69,262.62/221.93
  6. Step 6: Final answer
    x = 312.09

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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.