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Finding the Fourth Proportional to 227.46, 313.54 and 208.82

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Solution

The fourth proportional to 227.46, 313.54 and 208.82 is: 287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.46 : 313.54 = 208.82 : x
  2. Step 2: Convert to fraction form
    227.46/313.54 = 208.82/x
  3. Step 3: Cross multiply
    227.46x = 313.54 × 208.82
  4. Step 4: Simplify right side
    227.46x = 65,473.42
  5. Step 5: Solve for x
    x = 65,473.42/227.46
  6. Step 6: Final answer
    x = 287.85

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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.