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Finding the Fourth Proportional to 108.44, 161.82 and 96.30

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Solution

The fourth proportional to 108.44, 161.82 and 96.30 is: 143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.44 : 161.82 = 96.30 : x
  2. Step 2: Convert to fraction form
    108.44/161.82 = 96.30/x
  3. Step 3: Cross multiply
    108.44x = 161.82 × 96.30
  4. Step 4: Simplify right side
    108.44x = 15,582.78
  5. Step 5: Solve for x
    x = 15,582.78/108.44
  6. Step 6: Final answer
    x = 143.70

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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.