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Finding the Fourth Proportional to 298.73, 447.97 and 93.23

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Solution

The fourth proportional to 298.73, 447.97 and 93.23 is: 139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.73 : 447.97 = 93.23 : x
  2. Step 2: Convert to fraction form
    298.73/447.97 = 93.23/x
  3. Step 3: Cross multiply
    298.73x = 447.97 × 93.23
  4. Step 4: Simplify right side
    298.73x = 41,765.48
  5. Step 5: Solve for x
    x = 41,765.48/298.73
  6. Step 6: Final answer
    x = 139.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.