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Finding the Fourth Proportional to 255.13, 352.14 and 144.68

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Solution

The fourth proportional to 255.13, 352.14 and 144.68 is: 199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.13 : 352.14 = 144.68 : x
  2. Step 2: Convert to fraction form
    255.13/352.14 = 144.68/x
  3. Step 3: Cross multiply
    255.13x = 352.14 × 144.68
  4. Step 4: Simplify right side
    255.13x = 50,945.49
  5. Step 5: Solve for x
    x = 50,945.49/255.13
  6. Step 6: Final answer
    x = 199.68

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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.