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Finding the Fourth Proportional to 433.06, 649.66 and 201.85

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Solution

The fourth proportional to 433.06, 649.66 and 201.85 is: 302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.06 : 649.66 = 201.85 : x
  2. Step 2: Convert to fraction form
    433.06/649.66 = 201.85/x
  3. Step 3: Cross multiply
    433.06x = 649.66 × 201.85
  4. Step 4: Simplify right side
    433.06x = 131,133.87
  5. Step 5: Solve for x
    x = 131,133.87/433.06
  6. Step 6: Final answer
    x = 302.81

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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.