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Finding the Fourth Proportional to 255.36, 352.34 and 144.83

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Solution

The fourth proportional to 255.36, 352.34 and 144.83 is: 199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.36 : 352.34 = 144.83 : x
  2. Step 2: Convert to fraction form
    255.36/352.34 = 144.83/x
  3. Step 3: Cross multiply
    255.36x = 352.34 × 144.83
  4. Step 4: Simplify right side
    255.36x = 51,026.92
  5. Step 5: Solve for x
    x = 51,026.92/255.36
  6. Step 6: Final answer
    x = 199.82

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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.