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Finding the Fourth Proportional to 144.37, 198.52 and 140.05

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Solution

The fourth proportional to 144.37, 198.52 and 140.05 is: 192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.37 : 198.52 = 140.05 : x
  2. Step 2: Convert to fraction form
    144.37/198.52 = 140.05/x
  3. Step 3: Cross multiply
    144.37x = 198.52 × 140.05
  4. Step 4: Simplify right side
    144.37x = 27,802.73
  5. Step 5: Solve for x
    x = 27,802.73/144.37
  6. Step 6: Final answer
    x = 192.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.