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Finding the Fourth Proportional to 433.39, 649.74 and 213.92

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Solution

The fourth proportional to 433.39, 649.74 and 213.92 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.39 : 649.74 = 213.92 : x
  2. Step 2: Convert to fraction form
    433.39/649.74 = 213.92/x
  3. Step 3: Cross multiply
    433.39x = 649.74 × 213.92
  4. Step 4: Simplify right side
    433.39x = 138,992.38
  5. Step 5: Solve for x
    x = 138,992.38/433.39
  6. Step 6: Final answer
    x = 320.71

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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.