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Finding the Fourth Proportional to 433.20, 649.24 and 289.04

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Solution

The fourth proportional to 433.20, 649.24 and 289.04 is: 433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 649.24 = 289.04 : x
  2. Step 2: Convert to fraction form
    433.20/649.24 = 289.04/x
  3. Step 3: Cross multiply
    433.20x = 649.24 × 289.04
  4. Step 4: Simplify right side
    433.20x = 187,656.33
  5. Step 5: Solve for x
    x = 187,656.33/433.20
  6. Step 6: Final answer
    x = 433.19

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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.