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Finding the Fourth Proportional to 255.20, 383.37 and 220.61

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Solution

The fourth proportional to 255.20, 383.37 and 220.61 is: 331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.20 : 383.37 = 220.61 : x
  2. Step 2: Convert to fraction form
    255.20/383.37 = 220.61/x
  3. Step 3: Cross multiply
    255.20x = 383.37 × 220.61
  4. Step 4: Simplify right side
    255.20x = 84,575.26
  5. Step 5: Solve for x
    x = 84,575.26/255.20
  6. Step 6: Final answer
    x = 331.41

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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.