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Finding the Fourth Proportional to 320.73, 442.45 and 196.36

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Solution

The fourth proportional to 320.73, 442.45 and 196.36 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.73 : 442.45 = 196.36 : x
  2. Step 2: Convert to fraction form
    320.73/442.45 = 196.36/x
  3. Step 3: Cross multiply
    320.73x = 442.45 × 196.36
  4. Step 4: Simplify right side
    320.73x = 86,879.48
  5. Step 5: Solve for x
    x = 86,879.48/320.73
  6. Step 6: Final answer
    x = 270.88

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