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Finding the Fourth Proportional to 108.37, 161.42 and 99.28

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Solution

The fourth proportional to 108.37, 161.42 and 99.28 is: 147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.37 : 161.42 = 99.28 : x
  2. Step 2: Convert to fraction form
    108.37/161.42 = 99.28/x
  3. Step 3: Cross multiply
    108.37x = 161.42 × 99.28
  4. Step 4: Simplify right side
    108.37x = 16,025.78
  5. Step 5: Solve for x
    x = 16,025.78/108.37
  6. Step 6: Final answer
    x = 147.88

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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.