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Finding the Fourth Proportional to 169.16, 255.13 and 167.34

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Solution

The fourth proportional to 169.16, 255.13 and 167.34 is: 252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 255.13 = 167.34 : x
  2. Step 2: Convert to fraction form
    169.16/255.13 = 167.34/x
  3. Step 3: Cross multiply
    169.16x = 255.13 × 167.34
  4. Step 4: Simplify right side
    169.16x = 42,693.45
  5. Step 5: Solve for x
    x = 42,693.45/169.16
  6. Step 6: Final answer
    x = 252.39

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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.