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Finding the Fourth Proportional to 144.09, 198.90 and 109.13

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Solution

The fourth proportional to 144.09, 198.90 and 109.13 is: 150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.09 : 198.90 = 109.13 : x
  2. Step 2: Convert to fraction form
    144.09/198.90 = 109.13/x
  3. Step 3: Cross multiply
    144.09x = 198.90 × 109.13
  4. Step 4: Simplify right side
    144.09x = 21,704.96
  5. Step 5: Solve for x
    x = 21,704.96/144.09
  6. Step 6: Final answer
    x = 150.63

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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.