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Finding the Fourth Proportional to 144.36, 198.99 and 111.42

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Solution

The fourth proportional to 144.36, 198.99 and 111.42 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.36 : 198.99 = 111.42 : x
  2. Step 2: Convert to fraction form
    144.36/198.99 = 111.42/x
  3. Step 3: Cross multiply
    144.36x = 198.99 × 111.42
  4. Step 4: Simplify right side
    144.36x = 22,171.47
  5. Step 5: Solve for x
    x = 22,171.47/144.36
  6. Step 6: Final answer
    x = 153.58

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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.