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Finding the Fourth Proportional to 255.26, 352.21 and 144.71

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Solution

The fourth proportional to 255.26, 352.21 and 144.71 is: 199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.26 : 352.21 = 144.71 : x
  2. Step 2: Convert to fraction form
    255.26/352.21 = 144.71/x
  3. Step 3: Cross multiply
    255.26x = 352.21 × 144.71
  4. Step 4: Simplify right side
    255.26x = 50,968.31
  5. Step 5: Solve for x
    x = 50,968.31/255.26
  6. Step 6: Final answer
    x = 199.67

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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.