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Finding the Fourth Proportional to 144.03, 217.24 and 139.42

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Solution

The fourth proportional to 144.03, 217.24 and 139.42 is: 210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.03 : 217.24 = 139.42 : x
  2. Step 2: Convert to fraction form
    144.03/217.24 = 139.42/x
  3. Step 3: Cross multiply
    144.03x = 217.24 × 139.42
  4. Step 4: Simplify right side
    144.03x = 30,286.30
  5. Step 5: Solve for x
    x = 30,286.30/144.03
  6. Step 6: Final answer
    x = 210.27

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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.