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Finding the Fourth Proportional to 325.97, 449.64 and 201.53

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Solution

The fourth proportional to 325.97, 449.64 and 201.53 is: 277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.97 : 449.64 = 201.53 : x
  2. Step 2: Convert to fraction form
    325.97/449.64 = 201.53/x
  3. Step 3: Cross multiply
    325.97x = 449.64 × 201.53
  4. Step 4: Simplify right side
    325.97x = 90,615.95
  5. Step 5: Solve for x
    x = 90,615.95/325.97
  6. Step 6: Final answer
    x = 277.99

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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.