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Finding the Fourth Proportional to 209.25, 311.45 and 204.12

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Solution

The fourth proportional to 209.25, 311.45 and 204.12 is: 303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 311.45 = 204.12 : x
  2. Step 2: Convert to fraction form
    209.25/311.45 = 204.12/x
  3. Step 3: Cross multiply
    209.25x = 311.45 × 204.12
  4. Step 4: Simplify right side
    209.25x = 63,572.15
  5. Step 5: Solve for x
    x = 63,572.15/209.25
  6. Step 6: Final answer
    x = 303.81

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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.