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Finding the Fourth Proportional to 169.44, 255.33 and 139.67

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Solution

The fourth proportional to 169.44, 255.33 and 139.67 is: 210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.44 : 255.33 = 139.67 : x
  2. Step 2: Convert to fraction form
    169.44/255.33 = 139.67/x
  3. Step 3: Cross multiply
    169.44x = 255.33 × 139.67
  4. Step 4: Simplify right side
    169.44x = 35,662.67
  5. Step 5: Solve for x
    x = 35,662.67/169.44
  6. Step 6: Final answer
    x = 210.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.