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Finding the Fourth Proportional to 247.82, 371.08 and 208.69

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Solution

The fourth proportional to 247.82, 371.08 and 208.69 is: 312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.82 : 371.08 = 208.69 : x
  2. Step 2: Convert to fraction form
    247.82/371.08 = 208.69/x
  3. Step 3: Cross multiply
    247.82x = 371.08 × 208.69
  4. Step 4: Simplify right side
    247.82x = 77,438.83
  5. Step 5: Solve for x
    x = 77,438.83/247.82
  6. Step 6: Final answer
    x = 312.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.