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Finding the Fourth Proportional to 318.60, 475.92 and 226.53

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Solution

The fourth proportional to 318.60, 475.92 and 226.53 is: 338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.60 : 475.92 = 226.53 : x
  2. Step 2: Convert to fraction form
    318.60/475.92 = 226.53/x
  3. Step 3: Cross multiply
    318.60x = 475.92 × 226.53
  4. Step 4: Simplify right side
    318.60x = 107,810.16
  5. Step 5: Solve for x
    x = 107,810.16/318.60
  6. Step 6: Final answer
    x = 338.39

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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.