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Finding the Fourth Proportional to 144.82, 218.21 and 119.71

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Solution

The fourth proportional to 144.82, 218.21 and 119.71 is: 180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.82 : 218.21 = 119.71 : x
  2. Step 2: Convert to fraction form
    144.82/218.21 = 119.71/x
  3. Step 3: Cross multiply
    144.82x = 218.21 × 119.71
  4. Step 4: Simplify right side
    144.82x = 26,120.53
  5. Step 5: Solve for x
    x = 26,120.53/144.82
  6. Step 6: Final answer
    x = 180.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.