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Finding the Fourth Proportional to 144.56, 217.24 and 140.72

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Solution

The fourth proportional to 144.56, 217.24 and 140.72 is: 211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.56 : 217.24 = 140.72 : x
  2. Step 2: Convert to fraction form
    144.56/217.24 = 140.72/x
  3. Step 3: Cross multiply
    144.56x = 217.24 × 140.72
  4. Step 4: Simplify right side
    144.56x = 30,570.01
  5. Step 5: Solve for x
    x = 30,570.01/144.56
  6. Step 6: Final answer
    x = 211.47

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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.