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Finding the Fourth Proportional to 163.78, 225.96 and 111.43

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Solution

The fourth proportional to 163.78, 225.96 and 111.43 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 225.96 = 111.43 : x
  2. Step 2: Convert to fraction form
    163.78/225.96 = 111.43/x
  3. Step 3: Cross multiply
    163.78x = 225.96 × 111.43
  4. Step 4: Simplify right side
    163.78x = 25,178.72
  5. Step 5: Solve for x
    x = 25,178.72/163.78
  6. Step 6: Final answer
    x = 153.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.