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Finding the Fourth Proportional to 108.83, 163.31 and 43.82

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Solution

The fourth proportional to 108.83, 163.31 and 43.82 is: 65.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.83 : 163.31 = 43.82 : x
  2. Step 2: Convert to fraction form
    108.83/163.31 = 43.82/x
  3. Step 3: Cross multiply
    108.83x = 163.31 × 43.82
  4. Step 4: Simplify right side
    108.83x = 7,155.21
  5. Step 5: Solve for x
    x = 7,155.21/108.83
  6. Step 6: Final answer
    x = 65.75

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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.