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Finding the Fourth Proportional to 433.20, 649.84 and 227.64

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Solution

The fourth proportional to 433.20, 649.84 and 227.64 is: 341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 649.84 = 227.64 : x
  2. Step 2: Convert to fraction form
    433.20/649.84 = 227.64/x
  3. Step 3: Cross multiply
    433.20x = 649.84 × 227.64
  4. Step 4: Simplify right side
    433.20x = 147,929.58
  5. Step 5: Solve for x
    x = 147,929.58/433.20
  6. Step 6: Final answer
    x = 341.48

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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.