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Finding the Fourth Proportional to 225.83, 337.11 and 208.92

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Solution

The fourth proportional to 225.83, 337.11 and 208.92 is: 311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.83 : 337.11 = 208.92 : x
  2. Step 2: Convert to fraction form
    225.83/337.11 = 208.92/x
  3. Step 3: Cross multiply
    225.83x = 337.11 × 208.92
  4. Step 4: Simplify right side
    225.83x = 70,429.73
  5. Step 5: Solve for x
    x = 70,429.73/225.83
  6. Step 6: Final answer
    x = 311.87

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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.