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Finding the Fourth Proportional to 144.52, 217.96 and 142.96

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Solution

The fourth proportional to 144.52, 217.96 and 142.96 is: 215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.52 : 217.96 = 142.96 : x
  2. Step 2: Convert to fraction form
    144.52/217.96 = 142.96/x
  3. Step 3: Cross multiply
    144.52x = 217.96 × 142.96
  4. Step 4: Simplify right side
    144.52x = 31,159.56
  5. Step 5: Solve for x
    x = 31,159.56/144.52
  6. Step 6: Final answer
    x = 215.61

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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.