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Finding the Fourth Proportional to 169.66, 255.49 and 149.64

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Solution

The fourth proportional to 169.66, 255.49 and 149.64 is: 225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.66 : 255.49 = 149.64 : x
  2. Step 2: Convert to fraction form
    169.66/255.49 = 149.64/x
  3. Step 3: Cross multiply
    169.66x = 255.49 × 149.64
  4. Step 4: Simplify right side
    169.66x = 38,231.52
  5. Step 5: Solve for x
    x = 38,231.52/169.66
  6. Step 6: Final answer
    x = 225.34

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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.