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Finding the Fourth Proportional to 209.22, 311.84 and 204.36

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Solution

The fourth proportional to 209.22, 311.84 and 204.36 is: 304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.22 : 311.84 = 204.36 : x
  2. Step 2: Convert to fraction form
    209.22/311.84 = 204.36/x
  3. Step 3: Cross multiply
    209.22x = 311.84 × 204.36
  4. Step 4: Simplify right side
    209.22x = 63,726.60
  5. Step 5: Solve for x
    x = 63,726.60/209.22
  6. Step 6: Final answer
    x = 304.59

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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.