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Finding the Fourth Proportional to 247.41, 371.43 and 198.63

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Solution

The fourth proportional to 247.41, 371.43 and 198.63 is: 298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.41 : 371.43 = 198.63 : x
  2. Step 2: Convert to fraction form
    247.41/371.43 = 198.63/x
  3. Step 3: Cross multiply
    247.41x = 371.43 × 198.63
  4. Step 4: Simplify right side
    247.41x = 73,777.14
  5. Step 5: Solve for x
    x = 73,777.14/247.41
  6. Step 6: Final answer
    x = 298.20

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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.