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Finding the Fourth Proportional to 325.49, 449.14 and 178.12

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Solution

The fourth proportional to 325.49, 449.14 and 178.12 is: 245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.49 : 449.14 = 178.12 : x
  2. Step 2: Convert to fraction form
    325.49/449.14 = 178.12/x
  3. Step 3: Cross multiply
    325.49x = 449.14 × 178.12
  4. Step 4: Simplify right side
    325.49x = 80,000.82
  5. Step 5: Solve for x
    x = 80,000.82/325.49
  6. Step 6: Final answer
    x = 245.79

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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.