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Finding the Fourth Proportional to 221.52, 330.22 and 209.36

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Solution

The fourth proportional to 221.52, 330.22 and 209.36 is: 312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.52 : 330.22 = 209.36 : x
  2. Step 2: Convert to fraction form
    221.52/330.22 = 209.36/x
  3. Step 3: Cross multiply
    221.52x = 330.22 × 209.36
  4. Step 4: Simplify right side
    221.52x = 69,134.86
  5. Step 5: Solve for x
    x = 69,134.86/221.52
  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.