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Finding the Fourth Proportional to 227.08, 338.86 and 204.18

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Solution

The fourth proportional to 227.08, 338.86 and 204.18 is: 304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.08 : 338.86 = 204.18 : x
  2. Step 2: Convert to fraction form
    227.08/338.86 = 204.18/x
  3. Step 3: Cross multiply
    227.08x = 338.86 × 204.18
  4. Step 4: Simplify right side
    227.08x = 69,188.43
  5. Step 5: Solve for x
    x = 69,188.43/227.08
  6. Step 6: Final answer
    x = 304.69

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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.