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Finding the Fourth Proportional to 325.44, 446.64 and 294.30

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Solution

The fourth proportional to 325.44, 446.64 and 294.30 is: 403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.44 : 446.64 = 294.30 : x
  2. Step 2: Convert to fraction form
    325.44/446.64 = 294.30/x
  3. Step 3: Cross multiply
    325.44x = 446.64 × 294.30
  4. Step 4: Simplify right side
    325.44x = 131,446.15
  5. Step 5: Solve for x
    x = 131,446.15/325.44
  6. Step 6: Final answer
    x = 403.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.