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Finding the Fourth Proportional to 226.18, 339.27 and 204.85

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Solution

The fourth proportional to 226.18, 339.27 and 204.85 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.18 : 339.27 = 204.85 : x
  2. Step 2: Convert to fraction form
    226.18/339.27 = 204.85/x
  3. Step 3: Cross multiply
    226.18x = 339.27 × 204.85
  4. Step 4: Simplify right side
    226.18x = 69,499.46
  5. Step 5: Solve for x
    x = 69,499.46/226.18
  6. Step 6: Final answer
    x = 307.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.