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Finding the Fourth Proportional to 144.20, 198.93 and 113.12

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Solution

The fourth proportional to 144.20, 198.93 and 113.12 is: 156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.20 : 198.93 = 113.12 : x
  2. Step 2: Convert to fraction form
    144.20/198.93 = 113.12/x
  3. Step 3: Cross multiply
    144.20x = 198.93 × 113.12
  4. Step 4: Simplify right side
    144.20x = 22,501.97
  5. Step 5: Solve for x
    x = 22,501.97/144.20
  6. Step 6: Final answer
    x = 156.05

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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.