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Finding the Fourth Proportional to 363.40, 541.79 and 329.20

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Solution

The fourth proportional to 363.40, 541.79 and 329.20 is: 490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.40 : 541.79 = 329.20 : x
  2. Step 2: Convert to fraction form
    363.40/541.79 = 329.20/x
  3. Step 3: Cross multiply
    363.40x = 541.79 × 329.20
  4. Step 4: Simplify right side
    363.40x = 178,357.27
  5. Step 5: Solve for x
    x = 178,357.27/363.40
  6. Step 6: Final answer
    x = 490.80

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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.