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Finding the Fourth Proportional to 169.89, 255.06 and 139.38

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Solution

The fourth proportional to 169.89, 255.06 and 139.38 is: 209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.89 : 255.06 = 139.38 : x
  2. Step 2: Convert to fraction form
    169.89/255.06 = 139.38/x
  3. Step 3: Cross multiply
    169.89x = 255.06 × 139.38
  4. Step 4: Simplify right side
    169.89x = 35,550.26
  5. Step 5: Solve for x
    x = 35,550.26/169.89
  6. Step 6: Final answer
    x = 209.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.