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Finding the Fourth Proportional to 108.09, 161.28 and 92.97

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Solution

The fourth proportional to 108.09, 161.28 and 92.97 is: 138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 161.28 = 92.97 : x
  2. Step 2: Convert to fraction form
    108.09/161.28 = 92.97/x
  3. Step 3: Cross multiply
    108.09x = 161.28 × 92.97
  4. Step 4: Simplify right side
    108.09x = 14,994.20
  5. Step 5: Solve for x
    x = 14,994.20/108.09
  6. Step 6: Final answer
    x = 138.72

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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.