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Finding the Fourth Proportional to 169.89, 255.37 and 147.34

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Solution

The fourth proportional to 169.89, 255.37 and 147.34 is: 221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.89 : 255.37 = 147.34 : x
  2. Step 2: Convert to fraction form
    169.89/255.37 = 147.34/x
  3. Step 3: Cross multiply
    169.89x = 255.37 × 147.34
  4. Step 4: Simplify right side
    169.89x = 37,626.22
  5. Step 5: Solve for x
    x = 37,626.22/169.89
  6. Step 6: Final answer
    x = 221.47

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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.