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Finding the Fourth Proportional to 325.64, 449.31 and 194.63

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Solution

The fourth proportional to 325.64, 449.31 and 194.63 is: 268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.64 : 449.31 = 194.63 : x
  2. Step 2: Convert to fraction form
    325.64/449.31 = 194.63/x
  3. Step 3: Cross multiply
    325.64x = 449.31 × 194.63
  4. Step 4: Simplify right side
    325.64x = 87,447.69
  5. Step 5: Solve for x
    x = 87,447.69/325.64
  6. Step 6: Final answer
    x = 268.54

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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.