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Finding the Fourth Proportional to 144.62, 198.12 and 139.36

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Solution

The fourth proportional to 144.62, 198.12 and 139.36 is: 190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.62 : 198.12 = 139.36 : x
  2. Step 2: Convert to fraction form
    144.62/198.12 = 139.36/x
  3. Step 3: Cross multiply
    144.62x = 198.12 × 139.36
  4. Step 4: Simplify right side
    144.62x = 27,610.00
  5. Step 5: Solve for x
    x = 27,610.00/144.62
  6. Step 6: Final answer
    x = 190.91

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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.