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Finding the Fourth Proportional to 325.90, 449.97 and 305.25

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Solution

The fourth proportional to 325.90, 449.97 and 305.25 is: 421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.90 : 449.97 = 305.25 : x
  2. Step 2: Convert to fraction form
    325.90/449.97 = 305.25/x
  3. Step 3: Cross multiply
    325.90x = 449.97 × 305.25
  4. Step 4: Simplify right side
    325.90x = 137,353.34
  5. Step 5: Solve for x
    x = 137,353.34/325.90
  6. Step 6: Final answer
    x = 421.46

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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.