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Finding the Fourth Proportional to 169.12, 255.14 and 168.66

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Solution

The fourth proportional to 169.12, 255.14 and 168.66 is: 254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.12 : 255.14 = 168.66 : x
  2. Step 2: Convert to fraction form
    169.12/255.14 = 168.66/x
  3. Step 3: Cross multiply
    169.12x = 255.14 × 168.66
  4. Step 4: Simplify right side
    169.12x = 43,031.91
  5. Step 5: Solve for x
    x = 43,031.91/169.12
  6. Step 6: Final answer
    x = 254.45

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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.