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Finding the Fourth Proportional to 255.29, 352.29 and 138.85

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Solution

The fourth proportional to 255.29, 352.29 and 138.85 is: 191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.29 : 352.29 = 138.85 : x
  2. Step 2: Convert to fraction form
    255.29/352.29 = 138.85/x
  3. Step 3: Cross multiply
    255.29x = 352.29 × 138.85
  4. Step 4: Simplify right side
    255.29x = 48,914.59
  5. Step 5: Solve for x
    x = 48,914.59/255.29
  6. Step 6: Final answer
    x = 191.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.