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Finding the Fourth Proportional to 108.61, 162.81 and 54.44

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Solution

The fourth proportional to 108.61, 162.81 and 54.44 is: 81.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.61 : 162.81 = 54.44 : x
  2. Step 2: Convert to fraction form
    108.61/162.81 = 54.44/x
  3. Step 3: Cross multiply
    108.61x = 162.81 × 54.44
  4. Step 4: Simplify right side
    108.61x = 8,863.17
  5. Step 5: Solve for x
    x = 8,863.17/108.61
  6. Step 6: Final answer
    x = 81.61

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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.