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Finding the Fourth Proportional to 320.28, 441.51 and 226.74

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Solution

The fourth proportional to 320.28, 441.51 and 226.74 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.28 : 441.51 = 226.74 : x
  2. Step 2: Convert to fraction form
    320.28/441.51 = 226.74/x
  3. Step 3: Cross multiply
    320.28x = 441.51 × 226.74
  4. Step 4: Simplify right side
    320.28x = 100,107.98
  5. Step 5: Solve for x
    x = 100,107.98/320.28
  6. Step 6: Final answer
    x = 312.56

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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.