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Finding the Fourth Proportional to 144.59, 200.61 and 138.80

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Solution

The fourth proportional to 144.59, 200.61 and 138.80 is: 192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.59 : 200.61 = 138.80 : x
  2. Step 2: Convert to fraction form
    144.59/200.61 = 138.80/x
  3. Step 3: Cross multiply
    144.59x = 200.61 × 138.80
  4. Step 4: Simplify right side
    144.59x = 27,843.66
  5. Step 5: Solve for x
    x = 27,843.66/144.59
  6. Step 6: Final answer
    x = 192.58

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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.