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Finding the Fourth Proportional to 255, 380.68 and 220.60

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Solution

The fourth proportional to 255, 380.68 and 220.60 is: 329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255 : 380.68 = 220.60 : x
  2. Step 2: Convert to fraction form
    255/380.68 = 220.60/x
  3. Step 3: Cross multiply
    255x = 380.68 × 220.60
  4. Step 4: Simplify right side
    255x = 83,978.01
  5. Step 5: Solve for x
    x = 83,978.01/255
  6. Step 6: Final answer
    x = 329.33

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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.