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Finding the Fourth Proportional to 108.83, 163.17 and 54.77

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Solution

The fourth proportional to 108.83, 163.17 and 54.77 is: 82.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.83 : 163.17 = 54.77 : x
  2. Step 2: Convert to fraction form
    108.83/163.17 = 54.77/x
  3. Step 3: Cross multiply
    108.83x = 163.17 × 54.77
  4. Step 4: Simplify right side
    108.83x = 8,936.01
  5. Step 5: Solve for x
    x = 8,936.01/108.83
  6. Step 6: Final answer
    x = 82.11

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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.