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Finding the Fourth Proportional to 144.12, 197.29 and 139.46

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Solution

The fourth proportional to 144.12, 197.29 and 139.46 is: 190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.12 : 197.29 = 139.46 : x
  2. Step 2: Convert to fraction form
    144.12/197.29 = 139.46/x
  3. Step 3: Cross multiply
    144.12x = 197.29 × 139.46
  4. Step 4: Simplify right side
    144.12x = 27,514.06
  5. Step 5: Solve for x
    x = 27,514.06/144.12
  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.