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Finding the Fourth Proportional to 144.54, 198.56 and 116.79

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Solution

The fourth proportional to 144.54, 198.56 and 116.79 is: 160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.54 : 198.56 = 116.79 : x
  2. Step 2: Convert to fraction form
    144.54/198.56 = 116.79/x
  3. Step 3: Cross multiply
    144.54x = 198.56 × 116.79
  4. Step 4: Simplify right side
    144.54x = 23,189.24
  5. Step 5: Solve for x
    x = 23,189.24/144.54
  6. Step 6: Final answer
    x = 160.43

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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.