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Finding the Fourth Proportional to 201.99, 303.09 and 144.23

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Solution

The fourth proportional to 201.99, 303.09 and 144.23 is: 216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.99 : 303.09 = 144.23 : x
  2. Step 2: Convert to fraction form
    201.99/303.09 = 144.23/x
  3. Step 3: Cross multiply
    201.99x = 303.09 × 144.23
  4. Step 4: Simplify right side
    201.99x = 43,715.13
  5. Step 5: Solve for x
    x = 43,715.13/201.99
  6. Step 6: Final answer
    x = 216.42

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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.