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Finding the Fourth Proportional to 325.43, 449.10 and 192.66

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Solution

The fourth proportional to 325.43, 449.10 and 192.66 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.43 : 449.10 = 192.66 : x
  2. Step 2: Convert to fraction form
    325.43/449.10 = 192.66/x
  3. Step 3: Cross multiply
    325.43x = 449.10 × 192.66
  4. Step 4: Simplify right side
    325.43x = 86,523.61
  5. Step 5: Solve for x
    x = 86,523.61/325.43
  6. Step 6: Final answer
    x = 265.87

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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.