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Finding the Fourth Proportional to 144.89, 198.50 and 139.42

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Solution

The fourth proportional to 144.89, 198.50 and 139.42 is: 191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.89 : 198.50 = 139.42 : x
  2. Step 2: Convert to fraction form
    144.89/198.50 = 139.42/x
  3. Step 3: Cross multiply
    144.89x = 198.50 × 139.42
  4. Step 4: Simplify right side
    144.89x = 27,675.21
  5. Step 5: Solve for x
    x = 27,675.21/144.89
  6. Step 6: Final answer
    x = 191.01

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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.