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Finding the Fourth Proportional to 108.55, 161.94 and 92.42

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Solution

The fourth proportional to 108.55, 161.94 and 92.42 is: 137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.55 : 161.94 = 92.42 : x
  2. Step 2: Convert to fraction form
    108.55/161.94 = 92.42/x
  3. Step 3: Cross multiply
    108.55x = 161.94 × 92.42
  4. Step 4: Simplify right side
    108.55x = 14,965.69
  5. Step 5: Solve for x
    x = 14,965.69/108.55
  6. Step 6: Final answer
    x = 137.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.