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Finding the Fourth Proportional to 329.08, 490.52 and 308.20

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Solution

The fourth proportional to 329.08, 490.52 and 308.20 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.08 : 490.52 = 308.20 : x
  2. Step 2: Convert to fraction form
    329.08/490.52 = 308.20/x
  3. Step 3: Cross multiply
    329.08x = 490.52 × 308.20
  4. Step 4: Simplify right side
    329.08x = 151,178.26
  5. Step 5: Solve for x
    x = 151,178.26/329.08
  6. Step 6: Final answer
    x = 459.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.