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Finding the Fourth Proportional to 108.98, 149.42 and 107.04

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Solution

The fourth proportional to 108.98, 149.42 and 107.04 is: 146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.98 : 149.42 = 107.04 : x
  2. Step 2: Convert to fraction form
    108.98/149.42 = 107.04/x
  3. Step 3: Cross multiply
    108.98x = 149.42 × 107.04
  4. Step 4: Simplify right side
    108.98x = 15,993.38
  5. Step 5: Solve for x
    x = 15,993.38/108.98
  6. Step 6: Final answer
    x = 146.76

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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.