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Finding the Fourth Proportional to 325.36, 449.01 and 194.35

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Solution

The fourth proportional to 325.36, 449.01 and 194.35 is: 268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.36 : 449.01 = 194.35 : x
  2. Step 2: Convert to fraction form
    325.36/449.01 = 194.35/x
  3. Step 3: Cross multiply
    325.36x = 449.01 × 194.35
  4. Step 4: Simplify right side
    325.36x = 87,265.09
  5. Step 5: Solve for x
    x = 87,265.09/325.36
  6. Step 6: Final answer
    x = 268.21

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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.