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Finding the Fourth Proportional to 144.82, 199.86 and 98.12

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Solution

The fourth proportional to 144.82, 199.86 and 98.12 is: 135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.82 : 199.86 = 98.12 : x
  2. Step 2: Convert to fraction form
    144.82/199.86 = 98.12/x
  3. Step 3: Cross multiply
    144.82x = 199.86 × 98.12
  4. Step 4: Simplify right side
    144.82x = 19,610.26
  5. Step 5: Solve for x
    x = 19,610.26/144.82
  6. Step 6: Final answer
    x = 135.41

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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.