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Finding the Fourth Proportional to 105.33, 144.29 and 104.25

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Solution

The fourth proportional to 105.33, 144.29 and 104.25 is: 142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.33 : 144.29 = 104.25 : x
  2. Step 2: Convert to fraction form
    105.33/144.29 = 104.25/x
  3. Step 3: Cross multiply
    105.33x = 144.29 × 104.25
  4. Step 4: Simplify right side
    105.33x = 15,041.71
  5. Step 5: Solve for x
    x = 15,041.71/105.33
  6. Step 6: Final answer
    x = 142.81

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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.