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Finding the Fourth Proportional to 144.51, 197.99 and 139.05

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Solution

The fourth proportional to 144.51, 197.99 and 139.05 is: 190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.51 : 197.99 = 139.05 : x
  2. Step 2: Convert to fraction form
    144.51/197.99 = 139.05/x
  3. Step 3: Cross multiply
    144.51x = 197.99 × 139.05
  4. Step 4: Simplify right side
    144.51x = 27,530.51
  5. Step 5: Solve for x
    x = 27,530.51/144.51
  6. Step 6: Final answer
    x = 190.51

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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.