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Finding the Fourth Proportional to 108.90, 162.20 and 108.41

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Solution

The fourth proportional to 108.90, 162.20 and 108.41 is: 161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.90 : 162.20 = 108.41 : x
  2. Step 2: Convert to fraction form
    108.90/162.20 = 108.41/x
  3. Step 3: Cross multiply
    108.90x = 162.20 × 108.41
  4. Step 4: Simplify right side
    108.90x = 17,583.56
  5. Step 5: Solve for x
    x = 17,583.56/108.90
  6. Step 6: Final answer
    x = 161.47

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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.