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Finding the Fourth Proportional to 226.96, 338.72 and 202.64

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Solution

The fourth proportional to 226.96, 338.72 and 202.64 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.96 : 338.72 = 202.64 : x
  2. Step 2: Convert to fraction form
    226.96/338.72 = 202.64/x
  3. Step 3: Cross multiply
    226.96x = 338.72 × 202.64
  4. Step 4: Simplify right side
    226.96x = 68,638.22
  5. Step 5: Solve for x
    x = 68,638.22/226.96
  6. Step 6: Final answer
    x = 302.42

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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.