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Finding the Fourth Proportional to 265.26, 398.13 and 196.62

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Solution

The fourth proportional to 265.26, 398.13 and 196.62 is: 295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.26 : 398.13 = 196.62 : x
  2. Step 2: Convert to fraction form
    265.26/398.13 = 196.62/x
  3. Step 3: Cross multiply
    265.26x = 398.13 × 196.62
  4. Step 4: Simplify right side
    265.26x = 78,280.32
  5. Step 5: Solve for x
    x = 78,280.32/265.26
  6. Step 6: Final answer
    x = 295.11

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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.