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Finding the Fourth Proportional to 387.20, 582.40 and 329.60

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Solution

The fourth proportional to 387.20, 582.40 and 329.60 is: 495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.20 : 582.40 = 329.60 : x
  2. Step 2: Convert to fraction form
    387.20/582.40 = 329.60/x
  3. Step 3: Cross multiply
    387.20x = 582.40 × 329.60
  4. Step 4: Simplify right side
    387.20x = 191,959.04
  5. Step 5: Solve for x
    x = 191,959.04/387.20
  6. Step 6: Final answer
    x = 495.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.