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Finding the Fourth Proportional to 201.80, 303.78 and 144.43

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Solution

The fourth proportional to 201.80, 303.78 and 144.43 is: 217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 303.78 = 144.43 : x
  2. Step 2: Convert to fraction form
    201.80/303.78 = 144.43/x
  3. Step 3: Cross multiply
    201.80x = 303.78 × 144.43
  4. Step 4: Simplify right side
    201.80x = 43,873.64
  5. Step 5: Solve for x
    x = 43,873.64/201.80
  6. Step 6: Final answer
    x = 217.41

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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.