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Finding the Fourth Proportional to 144.72, 199.56 and 108

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Solution

The fourth proportional to 144.72, 199.56 and 108 is: 148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.72 : 199.56 = 108 : x
  2. Step 2: Convert to fraction form
    144.72/199.56 = 108/x
  3. Step 3: Cross multiply
    144.72x = 199.56 × 108
  4. Step 4: Simplify right side
    144.72x = 21,552.48
  5. Step 5: Solve for x
    x = 21,552.48/144.72
  6. Step 6: Final answer
    x = 148.93

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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.