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Finding the Fourth Proportional to 144.66, 217.06 and 142.23

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Solution

The fourth proportional to 144.66, 217.06 and 142.23 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.66 : 217.06 = 142.23 : x
  2. Step 2: Convert to fraction form
    144.66/217.06 = 142.23/x
  3. Step 3: Cross multiply
    144.66x = 217.06 × 142.23
  4. Step 4: Simplify right side
    144.66x = 30,872.44
  5. Step 5: Solve for x
    x = 30,872.44/144.66
  6. Step 6: Final answer
    x = 213.41

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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.