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Finding the Fourth Proportional to 247.66, 372.34 and 196.94

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Solution

The fourth proportional to 247.66, 372.34 and 196.94 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.66 : 372.34 = 196.94 : x
  2. Step 2: Convert to fraction form
    247.66/372.34 = 196.94/x
  3. Step 3: Cross multiply
    247.66x = 372.34 × 196.94
  4. Step 4: Simplify right side
    247.66x = 73,328.64
  5. Step 5: Solve for x
    x = 73,328.64/247.66
  6. Step 6: Final answer
    x = 296.09

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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.