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Finding the Fourth Proportional to 163.72, 225.94 and 103.92

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Solution

The fourth proportional to 163.72, 225.94 and 103.92 is: 143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.72 : 225.94 = 103.92 : x
  2. Step 2: Convert to fraction form
    163.72/225.94 = 103.92/x
  3. Step 3: Cross multiply
    163.72x = 225.94 × 103.92
  4. Step 4: Simplify right side
    163.72x = 23,479.68
  5. Step 5: Solve for x
    x = 23,479.68/163.72
  6. Step 6: Final answer
    x = 143.41

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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.