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Finding the Fourth Proportional to 105.94, 144.90 and 104.26

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Solution

The fourth proportional to 105.94, 144.90 and 104.26 is: 142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.94 : 144.90 = 104.26 : x
  2. Step 2: Convert to fraction form
    105.94/144.90 = 104.26/x
  3. Step 3: Cross multiply
    105.94x = 144.90 × 104.26
  4. Step 4: Simplify right side
    105.94x = 15,107.27
  5. Step 5: Solve for x
    x = 15,107.27/105.94
  6. Step 6: Final answer
    x = 142.60

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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.