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Finding the Fourth Proportional to 318.32, 475.54 and 226.30

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Solution

The fourth proportional to 318.32, 475.54 and 226.30 is: 338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.32 : 475.54 = 226.30 : x
  2. Step 2: Convert to fraction form
    318.32/475.54 = 226.30/x
  3. Step 3: Cross multiply
    318.32x = 475.54 × 226.30
  4. Step 4: Simplify right side
    318.32x = 107,614.70
  5. Step 5: Solve for x
    x = 107,614.70/318.32
  6. Step 6: Final answer
    x = 338.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.