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Finding the Fourth Proportional to 218.20, 300.81 and 144.49

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Solution

The fourth proportional to 218.20, 300.81 and 144.49 is: 199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.20 : 300.81 = 144.49 : x
  2. Step 2: Convert to fraction form
    218.20/300.81 = 144.49/x
  3. Step 3: Cross multiply
    218.20x = 300.81 × 144.49
  4. Step 4: Simplify right side
    218.20x = 43,464.04
  5. Step 5: Solve for x
    x = 43,464.04/218.20
  6. Step 6: Final answer
    x = 199.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.