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Finding the Fourth Proportional to 247.78, 340.43 and 198.58

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Solution

The fourth proportional to 247.78, 340.43 and 198.58 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.78 : 340.43 = 198.58 : x
  2. Step 2: Convert to fraction form
    247.78/340.43 = 198.58/x
  3. Step 3: Cross multiply
    247.78x = 340.43 × 198.58
  4. Step 4: Simplify right side
    247.78x = 67,600.98
  5. Step 5: Solve for x
    x = 67,600.98/247.78
  6. Step 6: Final answer
    x = 272.82

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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.