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Finding the Fourth Proportional to 325.50, 449.08 and 201.16

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Solution

The fourth proportional to 325.50, 449.08 and 201.16 is: 277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.50 : 449.08 = 201.16 : x
  2. Step 2: Convert to fraction form
    325.50/449.08 = 201.16/x
  3. Step 3: Cross multiply
    325.50x = 449.08 × 201.16
  4. Step 4: Simplify right side
    325.50x = 90,336.93
  5. Step 5: Solve for x
    x = 90,336.93/325.50
  6. Step 6: Final answer
    x = 277.53

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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.