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Finding the Fourth Proportional to 144.01, 217.19 and 142.48

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Solution

The fourth proportional to 144.01, 217.19 and 142.48 is: 214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.01 : 217.19 = 142.48 : x
  2. Step 2: Convert to fraction form
    144.01/217.19 = 142.48/x
  3. Step 3: Cross multiply
    144.01x = 217.19 × 142.48
  4. Step 4: Simplify right side
    144.01x = 30,945.23
  5. Step 5: Solve for x
    x = 30,945.23/144.01
  6. Step 6: Final answer
    x = 214.88

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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.