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Finding the Fourth Proportional to 108.39, 163.47 and 107.22

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Solution

The fourth proportional to 108.39, 163.47 and 107.22 is: 161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.39 : 163.47 = 107.22 : x
  2. Step 2: Convert to fraction form
    108.39/163.47 = 107.22/x
  3. Step 3: Cross multiply
    108.39x = 163.47 × 107.22
  4. Step 4: Simplify right side
    108.39x = 17,527.25
  5. Step 5: Solve for x
    x = 17,527.25/108.39
  6. Step 6: Final answer
    x = 161.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.