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Finding the Fourth Proportional to 471.28, 649.66 and 330.96

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Solution

The fourth proportional to 471.28, 649.66 and 330.96 is: 456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 649.66 = 330.96 : x
  2. Step 2: Convert to fraction form
    471.28/649.66 = 330.96/x
  3. Step 3: Cross multiply
    471.28x = 649.66 × 330.96
  4. Step 4: Simplify right side
    471.28x = 215,011.47
  5. Step 5: Solve for x
    x = 215,011.47/471.28
  6. Step 6: Final answer
    x = 456.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.