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Finding the Fourth Proportional to 247.88, 340.79 and 212.78

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Solution

The fourth proportional to 247.88, 340.79 and 212.78 is: 292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.88 : 340.79 = 212.78 : x
  2. Step 2: Convert to fraction form
    247.88/340.79 = 212.78/x
  3. Step 3: Cross multiply
    247.88x = 340.79 × 212.78
  4. Step 4: Simplify right side
    247.88x = 72,513.08
  5. Step 5: Solve for x
    x = 72,513.08/247.88
  6. Step 6: Final answer
    x = 292.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.