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Finding the Fourth Proportional to 108.92, 163.37 and 31.88

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Solution

The fourth proportional to 108.92, 163.37 and 31.88 is: 47.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.92 : 163.37 = 31.88 : x
  2. Step 2: Convert to fraction form
    108.92/163.37 = 31.88/x
  3. Step 3: Cross multiply
    108.92x = 163.37 × 31.88
  4. Step 4: Simplify right side
    108.92x = 5,208.13
  5. Step 5: Solve for x
    x = 5,208.13/108.92
  6. Step 6: Final answer
    x = 47.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.