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Finding the Fourth Proportional to 320.32, 441.90 and 227.20

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Solution

The fourth proportional to 320.32, 441.90 and 227.20 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 441.90 = 227.20 : x
  2. Step 2: Convert to fraction form
    320.32/441.90 = 227.20/x
  3. Step 3: Cross multiply
    320.32x = 441.90 × 227.20
  4. Step 4: Simplify right side
    320.32x = 100,399.68
  5. Step 5: Solve for x
    x = 100,399.68/320.32
  6. Step 6: Final answer
    x = 313.44

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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.