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Finding the Fourth Proportional to 325.43, 449.08 and 178.06

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Solution

The fourth proportional to 325.43, 449.08 and 178.06 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.43 : 449.08 = 178.06 : x
  2. Step 2: Convert to fraction form
    325.43/449.08 = 178.06/x
  3. Step 3: Cross multiply
    325.43x = 449.08 × 178.06
  4. Step 4: Simplify right side
    325.43x = 79,963.84
  5. Step 5: Solve for x
    x = 79,963.84/325.43
  6. Step 6: Final answer
    x = 245.72

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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.