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Finding the Fourth Proportional to 394.20, 589.02 and 344.80

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Solution

The fourth proportional to 394.20, 589.02 and 344.80 is: 515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.20 : 589.02 = 344.80 : x
  2. Step 2: Convert to fraction form
    394.20/589.02 = 344.80/x
  3. Step 3: Cross multiply
    394.20x = 589.02 × 344.80
  4. Step 4: Simplify right side
    394.20x = 203,094.10
  5. Step 5: Solve for x
    x = 203,094.10/394.20
  6. Step 6: Final answer
    x = 515.21

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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.