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Finding the Fourth Proportional to 255.09, 381.81 and 139.26

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Solution

The fourth proportional to 255.09, 381.81 and 139.26 is: 208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.09 : 381.81 = 139.26 : x
  2. Step 2: Convert to fraction form
    255.09/381.81 = 139.26/x
  3. Step 3: Cross multiply
    255.09x = 381.81 × 139.26
  4. Step 4: Simplify right side
    255.09x = 53,170.86
  5. Step 5: Solve for x
    x = 53,170.86/255.09
  6. Step 6: Final answer
    x = 208.44

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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.