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Finding the Fourth Proportional to 144.57, 199.09 and 144.12

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Solution

The fourth proportional to 144.57, 199.09 and 144.12 is: 198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.57 : 199.09 = 144.12 : x
  2. Step 2: Convert to fraction form
    144.57/199.09 = 144.12/x
  3. Step 3: Cross multiply
    144.57x = 199.09 × 144.12
  4. Step 4: Simplify right side
    144.57x = 28,692.85
  5. Step 5: Solve for x
    x = 28,692.85/144.57
  6. Step 6: Final answer
    x = 198.47

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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.