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Finding the Fourth Proportional to 174.97, 241.41 and 112.72

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Solution

The fourth proportional to 174.97, 241.41 and 112.72 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.97 : 241.41 = 112.72 : x
  2. Step 2: Convert to fraction form
    174.97/241.41 = 112.72/x
  3. Step 3: Cross multiply
    174.97x = 241.41 × 112.72
  4. Step 4: Simplify right side
    174.97x = 27,211.97
  5. Step 5: Solve for x
    x = 27,211.97/174.97
  6. Step 6: Final answer
    x = 155.53

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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.