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Finding the Fourth Proportional to 247.95, 371.57 and 194.13

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Solution

The fourth proportional to 247.95, 371.57 and 194.13 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.95 : 371.57 = 194.13 : x
  2. Step 2: Convert to fraction form
    247.95/371.57 = 194.13/x
  3. Step 3: Cross multiply
    247.95x = 371.57 × 194.13
  4. Step 4: Simplify right side
    247.95x = 72,131.91
  5. Step 5: Solve for x
    x = 72,131.91/247.95
  6. Step 6: Final answer
    x = 290.91

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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.