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Finding the Fourth Proportional to 174.75, 241.04 and 108.38

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Solution

The fourth proportional to 174.75, 241.04 and 108.38 is: 149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.75 : 241.04 = 108.38 : x
  2. Step 2: Convert to fraction form
    174.75/241.04 = 108.38/x
  3. Step 3: Cross multiply
    174.75x = 241.04 × 108.38
  4. Step 4: Simplify right side
    174.75x = 26,123.92
  5. Step 5: Solve for x
    x = 26,123.92/174.75
  6. Step 6: Final answer
    x = 149.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.