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Finding the Fourth Proportional to 255.20, 352.12 and 144.68

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Solution

The fourth proportional to 255.20, 352.12 and 144.68 is: 199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.20 : 352.12 = 144.68 : x
  2. Step 2: Convert to fraction form
    255.20/352.12 = 144.68/x
  3. Step 3: Cross multiply
    255.20x = 352.12 × 144.68
  4. Step 4: Simplify right side
    255.20x = 50,944.72
  5. Step 5: Solve for x
    x = 50,944.72/255.20
  6. Step 6: Final answer
    x = 199.63

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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.