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Finding the Fourth Proportional to 433.20, 649.08 and 250.56

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Solution

The fourth proportional to 433.20, 649.08 and 250.56 is: 375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 649.08 = 250.56 : x
  2. Step 2: Convert to fraction form
    433.20/649.08 = 250.56/x
  3. Step 3: Cross multiply
    433.20x = 649.08 × 250.56
  4. Step 4: Simplify right side
    433.20x = 162,633.48
  5. Step 5: Solve for x
    x = 162,633.48/433.20
  6. Step 6: Final answer
    x = 375.42

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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.