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Finding the Fourth Proportional to 108.17, 161.21 and 107.28

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Solution

The fourth proportional to 108.17, 161.21 and 107.28 is: 159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.17 : 161.21 = 107.28 : x
  2. Step 2: Convert to fraction form
    108.17/161.21 = 107.28/x
  3. Step 3: Cross multiply
    108.17x = 161.21 × 107.28
  4. Step 4: Simplify right side
    108.17x = 17,294.61
  5. Step 5: Solve for x
    x = 17,294.61/108.17
  6. Step 6: Final answer
    x = 159.88

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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.