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Finding the Fourth Proportional to 144, 198.72 and 100.42

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Solution

The fourth proportional to 144, 198.72 and 100.42 is: 138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 198.72 = 100.42 : x
  2. Step 2: Convert to fraction form
    144/198.72 = 100.42/x
  3. Step 3: Cross multiply
    144x = 198.72 × 100.42
  4. Step 4: Simplify right side
    144x = 19,954.97
  5. Step 5: Solve for x
    x = 19,954.97/144
  6. Step 6: Final answer
    x = 138.58

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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.