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Finding the Fourth Proportional to 144.90, 217.05 and 108.72

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Solution

The fourth proportional to 144.90, 217.05 and 108.72 is: 162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.90 : 217.05 = 108.72 : x
  2. Step 2: Convert to fraction form
    144.90/217.05 = 108.72/x
  3. Step 3: Cross multiply
    144.90x = 217.05 × 108.72
  4. Step 4: Simplify right side
    144.90x = 23,597.68
  5. Step 5: Solve for x
    x = 23,597.68/144.90
  6. Step 6: Final answer
    x = 162.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.