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Finding the Fourth Proportional to 265.56, 396.98 and 196.44

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Solution

The fourth proportional to 265.56, 396.98 and 196.44 is: 293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.56 : 396.98 = 196.44 : x
  2. Step 2: Convert to fraction form
    265.56/396.98 = 196.44/x
  3. Step 3: Cross multiply
    265.56x = 396.98 × 196.44
  4. Step 4: Simplify right side
    265.56x = 77,981.77
  5. Step 5: Solve for x
    x = 77,981.77/265.56
  6. Step 6: Final answer
    x = 293.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.