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Finding the Fourth Proportional to 344.20, 515.60 and 213.80

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Solution

The fourth proportional to 344.20, 515.60 and 213.80 is: 320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.20 : 515.60 = 213.80 : x
  2. Step 2: Convert to fraction form
    344.20/515.60 = 213.80/x
  3. Step 3: Cross multiply
    344.20x = 515.60 × 213.80
  4. Step 4: Simplify right side
    344.20x = 110,235.28
  5. Step 5: Solve for x
    x = 110,235.28/344.20
  6. Step 6: Final answer
    x = 320.27

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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.