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Finding the Fourth Proportional to 225.92, 311.62 and 208.74

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Solution

The fourth proportional to 225.92, 311.62 and 208.74 is: 287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.92 : 311.62 = 208.74 : x
  2. Step 2: Convert to fraction form
    225.92/311.62 = 208.74/x
  3. Step 3: Cross multiply
    225.92x = 311.62 × 208.74
  4. Step 4: Simplify right side
    225.92x = 65,047.56
  5. Step 5: Solve for x
    x = 65,047.56/225.92
  6. Step 6: Final answer
    x = 287.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.