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Finding the Fourth Proportional to 144.76, 199.78 and 105.96

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Solution

The fourth proportional to 144.76, 199.78 and 105.96 is: 146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.76 : 199.78 = 105.96 : x
  2. Step 2: Convert to fraction form
    144.76/199.78 = 105.96/x
  3. Step 3: Cross multiply
    144.76x = 199.78 × 105.96
  4. Step 4: Simplify right side
    144.76x = 21,168.69
  5. Step 5: Solve for x
    x = 21,168.69/144.76
  6. Step 6: Final answer
    x = 146.23

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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.