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Finding the Fourth Proportional to 227.08, 340.36 and 111.44

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Solution

The fourth proportional to 227.08, 340.36 and 111.44 is: 167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.08 : 340.36 = 111.44 : x
  2. Step 2: Convert to fraction form
    227.08/340.36 = 111.44/x
  3. Step 3: Cross multiply
    227.08x = 340.36 × 111.44
  4. Step 4: Simplify right side
    227.08x = 37,929.72
  5. Step 5: Solve for x
    x = 37,929.72/227.08
  6. Step 6: Final answer
    x = 167.03

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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.