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Finding the Fourth Proportional to 293.97, 440.80 and 111.27

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Solution

The fourth proportional to 293.97, 440.80 and 111.27 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.97 : 440.80 = 111.27 : x
  2. Step 2: Convert to fraction form
    293.97/440.80 = 111.27/x
  3. Step 3: Cross multiply
    293.97x = 440.80 × 111.27
  4. Step 4: Simplify right side
    293.97x = 49,046.30
  5. Step 5: Solve for x
    x = 49,046.30/293.97
  6. Step 6: Final answer
    x = 166.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.