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Finding the Fourth Proportional to 144.77, 199.91 and 105.65

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Solution

The fourth proportional to 144.77, 199.91 and 105.65 is: 145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.77 : 199.91 = 105.65 : x
  2. Step 2: Convert to fraction form
    144.77/199.91 = 105.65/x
  3. Step 3: Cross multiply
    144.77x = 199.91 × 105.65
  4. Step 4: Simplify right side
    144.77x = 21,121.26
  5. Step 5: Solve for x
    x = 21,121.26/144.77
  6. Step 6: Final answer
    x = 145.90

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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.