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Finding the Fourth Proportional to 329.52, 496.80 and 325.20

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Solution

The fourth proportional to 329.52, 496.80 and 325.20 is: 490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.52 : 496.80 = 325.20 : x
  2. Step 2: Convert to fraction form
    329.52/496.80 = 325.20/x
  3. Step 3: Cross multiply
    329.52x = 496.80 × 325.20
  4. Step 4: Simplify right side
    329.52x = 161,559.36
  5. Step 5: Solve for x
    x = 161,559.36/329.52
  6. Step 6: Final answer
    x = 490.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.