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Finding the Fourth Proportional to 108.42, 162.96 and 105.39

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Solution

The fourth proportional to 108.42, 162.96 and 105.39 is: 158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 162.96 = 105.39 : x
  2. Step 2: Convert to fraction form
    108.42/162.96 = 105.39/x
  3. Step 3: Cross multiply
    108.42x = 162.96 × 105.39
  4. Step 4: Simplify right side
    108.42x = 17,174.35
  5. Step 5: Solve for x
    x = 17,174.35/108.42
  6. Step 6: Final answer
    x = 158.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.