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Finding the Fourth Proportional to 144.10, 199.77 and 136.31

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Solution

The fourth proportional to 144.10, 199.77 and 136.31 is: 188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.10 : 199.77 = 136.31 : x
  2. Step 2: Convert to fraction form
    144.10/199.77 = 136.31/x
  3. Step 3: Cross multiply
    144.10x = 199.77 × 136.31
  4. Step 4: Simplify right side
    144.10x = 27,229.65
  5. Step 5: Solve for x
    x = 27,229.65/144.10
  6. Step 6: Final answer
    x = 188.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.