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Finding the Fourth Proportional to 323.64, 446.79 and 245.88

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Solution

The fourth proportional to 323.64, 446.79 and 245.88 is: 339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.64 : 446.79 = 245.88 : x
  2. Step 2: Convert to fraction form
    323.64/446.79 = 245.88/x
  3. Step 3: Cross multiply
    323.64x = 446.79 × 245.88
  4. Step 4: Simplify right side
    323.64x = 109,856.73
  5. Step 5: Solve for x
    x = 109,856.73/323.64
  6. Step 6: Final answer
    x = 339.44

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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.