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Finding the Fourth Proportional to 108.34, 161.39 and 105.15

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Solution

The fourth proportional to 108.34, 161.39 and 105.15 is: 156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.34 : 161.39 = 105.15 : x
  2. Step 2: Convert to fraction form
    108.34/161.39 = 105.15/x
  3. Step 3: Cross multiply
    108.34x = 161.39 × 105.15
  4. Step 4: Simplify right side
    108.34x = 16,970.12
  5. Step 5: Solve for x
    x = 16,970.12/108.34
  6. Step 6: Final answer
    x = 156.64

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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.