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Finding the Fourth Proportional to 144.33, 200.13 and 139.20

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Solution

The fourth proportional to 144.33, 200.13 and 139.20 is: 193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.33 : 200.13 = 139.20 : x
  2. Step 2: Convert to fraction form
    144.33/200.13 = 139.20/x
  3. Step 3: Cross multiply
    144.33x = 200.13 × 139.20
  4. Step 4: Simplify right side
    144.33x = 27,858.10
  5. Step 5: Solve for x
    x = 27,858.10/144.33
  6. Step 6: Final answer
    x = 193.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.