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Finding the Fourth Proportional to 108.54, 163.46 and 97.83

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Solution

The fourth proportional to 108.54, 163.46 and 97.83 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.54 : 163.46 = 97.83 : x
  2. Step 2: Convert to fraction form
    108.54/163.46 = 97.83/x
  3. Step 3: Cross multiply
    108.54x = 163.46 × 97.83
  4. Step 4: Simplify right side
    108.54x = 15,991.29
  5. Step 5: Solve for x
    x = 15,991.29/108.54
  6. Step 6: Final answer
    x = 147.33

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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.