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Finding the Fourth Proportional to 169.26, 255.12 and 160.74

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Solution

The fourth proportional to 169.26, 255.12 and 160.74 is: 242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.26 : 255.12 = 160.74 : x
  2. Step 2: Convert to fraction form
    169.26/255.12 = 160.74/x
  3. Step 3: Cross multiply
    169.26x = 255.12 × 160.74
  4. Step 4: Simplify right side
    169.26x = 41,007.99
  5. Step 5: Solve for x
    x = 41,007.99/169.26
  6. Step 6: Final answer
    x = 242.28

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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.