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Finding the Fourth Proportional to 163.16, 225.19 and 121.92

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Solution

The fourth proportional to 163.16, 225.19 and 121.92 is: 168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.16 : 225.19 = 121.92 : x
  2. Step 2: Convert to fraction form
    163.16/225.19 = 121.92/x
  3. Step 3: Cross multiply
    163.16x = 225.19 × 121.92
  4. Step 4: Simplify right side
    163.16x = 27,455.16
  5. Step 5: Solve for x
    x = 27,455.16/163.16
  6. Step 6: Final answer
    x = 168.27

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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.