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Finding the Fourth Proportional to 144.94, 217.09 and 140.35

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Solution

The fourth proportional to 144.94, 217.09 and 140.35 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.94 : 217.09 = 140.35 : x
  2. Step 2: Convert to fraction form
    144.94/217.09 = 140.35/x
  3. Step 3: Cross multiply
    144.94x = 217.09 × 140.35
  4. Step 4: Simplify right side
    144.94x = 30,468.58
  5. Step 5: Solve for x
    x = 30,468.58/144.94
  6. Step 6: Final answer
    x = 210.22

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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.