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Finding the Fourth Proportional to 105.30, 144.36 and 104.22

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Solution

The fourth proportional to 105.30, 144.36 and 104.22 is: 142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 144.36 = 104.22 : x
  2. Step 2: Convert to fraction form
    105.30/144.36 = 104.22/x
  3. Step 3: Cross multiply
    105.30x = 144.36 × 104.22
  4. Step 4: Simplify right side
    105.30x = 15,045.20
  5. Step 5: Solve for x
    x = 15,045.20/105.30
  6. Step 6: Final answer
    x = 142.88

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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.