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Finding the Fourth Proportional to 247.25, 369.92 and 195.36

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Solution

The fourth proportional to 247.25, 369.92 and 195.36 is: 292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.25 : 369.92 = 195.36 : x
  2. Step 2: Convert to fraction form
    247.25/369.92 = 195.36/x
  3. Step 3: Cross multiply
    247.25x = 369.92 × 195.36
  4. Step 4: Simplify right side
    247.25x = 72,264.74
  5. Step 5: Solve for x
    x = 72,264.74/247.25
  6. Step 6: Final answer
    x = 292.27

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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.