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Finding the Fourth Proportional to 163.22, 225.20 and 105.04

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Solution

The fourth proportional to 163.22, 225.20 and 105.04 is: 144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.22 : 225.20 = 105.04 : x
  2. Step 2: Convert to fraction form
    163.22/225.20 = 105.04/x
  3. Step 3: Cross multiply
    163.22x = 225.20 × 105.04
  4. Step 4: Simplify right side
    163.22x = 23,654.71
  5. Step 5: Solve for x
    x = 23,654.71/163.22
  6. Step 6: Final answer
    x = 144.92

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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.