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Finding the Fourth Proportional to 221.30, 330.34 and 205.24

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Solution

The fourth proportional to 221.30, 330.34 and 205.24 is: 306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.30 : 330.34 = 205.24 : x
  2. Step 2: Convert to fraction form
    221.30/330.34 = 205.24/x
  3. Step 3: Cross multiply
    221.30x = 330.34 × 205.24
  4. Step 4: Simplify right side
    221.30x = 67,798.65
  5. Step 5: Solve for x
    x = 67,798.65/221.30
  6. Step 6: Final answer
    x = 306.36

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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.