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Finding the Fourth Proportional to 226.22, 337.69 and 209.31

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Solution

The fourth proportional to 226.22, 337.69 and 209.31 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.22 : 337.69 = 209.31 : x
  2. Step 2: Convert to fraction form
    226.22/337.69 = 209.31/x
  3. Step 3: Cross multiply
    226.22x = 337.69 × 209.31
  4. Step 4: Simplify right side
    226.22x = 70,680.89
  5. Step 5: Solve for x
    x = 70,680.89/226.22
  6. Step 6: Final answer
    x = 312.45

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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.