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Finding the Fourth Proportional to 226.15, 337.57 and 209.66

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Solution

The fourth proportional to 226.15, 337.57 and 209.66 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.15 : 337.57 = 209.66 : x
  2. Step 2: Convert to fraction form
    226.15/337.57 = 209.66/x
  3. Step 3: Cross multiply
    226.15x = 337.57 × 209.66
  4. Step 4: Simplify right side
    226.15x = 70,774.93
  5. Step 5: Solve for x
    x = 70,774.93/226.15
  6. Step 6: Final answer
    x = 312.96

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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.