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Finding the Fourth Proportional to 226.78, 340.16 and 111.20

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Solution

The fourth proportional to 226.78, 340.16 and 111.20 is: 166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.78 : 340.16 = 111.20 : x
  2. Step 2: Convert to fraction form
    226.78/340.16 = 111.20/x
  3. Step 3: Cross multiply
    226.78x = 340.16 × 111.20
  4. Step 4: Simplify right side
    226.78x = 37,825.79
  5. Step 5: Solve for x
    x = 37,825.79/226.78
  6. Step 6: Final answer
    x = 166.80

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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.