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Finding the Fourth Proportional to 320.78, 442.92 and 196.61

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Solution

The fourth proportional to 320.78, 442.92 and 196.61 is: 271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.78 : 442.92 = 196.61 : x
  2. Step 2: Convert to fraction form
    320.78/442.92 = 196.61/x
  3. Step 3: Cross multiply
    320.78x = 442.92 × 196.61
  4. Step 4: Simplify right side
    320.78x = 87,083.12
  5. Step 5: Solve for x
    x = 87,083.12/320.78
  6. Step 6: Final answer
    x = 271.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.