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Finding the Fourth Proportional to 394.20, 544.50 and 329.52

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Solution

The fourth proportional to 394.20, 544.50 and 329.52 is: 455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.20 : 544.50 = 329.52 : x
  2. Step 2: Convert to fraction form
    394.20/544.50 = 329.52/x
  3. Step 3: Cross multiply
    394.20x = 544.50 × 329.52
  4. Step 4: Simplify right side
    394.20x = 179,423.64
  5. Step 5: Solve for x
    x = 179,423.64/394.20
  6. Step 6: Final answer
    x = 455.16

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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.