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Finding the Fourth Proportional to 108.92, 149.22 and 104.82

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Solution

The fourth proportional to 108.92, 149.22 and 104.82 is: 143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.92 : 149.22 = 104.82 : x
  2. Step 2: Convert to fraction form
    108.92/149.22 = 104.82/x
  3. Step 3: Cross multiply
    108.92x = 149.22 × 104.82
  4. Step 4: Simplify right side
    108.92x = 15,640.23
  5. Step 5: Solve for x
    x = 15,640.23/108.92
  6. Step 6: Final answer
    x = 143.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.