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Finding the Fourth Proportional to 169.41, 255.28 and 139.65

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Solution

The fourth proportional to 169.41, 255.28 and 139.65 is: 210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.41 : 255.28 = 139.65 : x
  2. Step 2: Convert to fraction form
    169.41/255.28 = 139.65/x
  3. Step 3: Cross multiply
    169.41x = 255.28 × 139.65
  4. Step 4: Simplify right side
    169.41x = 35,649.85
  5. Step 5: Solve for x
    x = 35,649.85/169.41
  6. Step 6: Final answer
    x = 210.44

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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.