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Finding the Fourth Proportional to 433.03, 649.09 and 201.73

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Solution

The fourth proportional to 433.03, 649.09 and 201.73 is: 302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.03 : 649.09 = 201.73 : x
  2. Step 2: Convert to fraction form
    433.03/649.09 = 201.73/x
  3. Step 3: Cross multiply
    433.03x = 649.09 × 201.73
  4. Step 4: Simplify right side
    433.03x = 130,940.93
  5. Step 5: Solve for x
    x = 130,940.93/433.03
  6. Step 6: Final answer
    x = 302.38

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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.