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Finding the Fourth Proportional to 325.57, 449.21 and 192.76

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Solution

The fourth proportional to 325.57, 449.21 and 192.76 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.57 : 449.21 = 192.76 : x
  2. Step 2: Convert to fraction form
    325.57/449.21 = 192.76/x
  3. Step 3: Cross multiply
    325.57x = 449.21 × 192.76
  4. Step 4: Simplify right side
    325.57x = 86,589.72
  5. Step 5: Solve for x
    x = 86,589.72/325.57
  6. Step 6: Final answer
    x = 265.96

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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.