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Finding the Fourth Proportional to 171.35, 255.09 and 170.34

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Solution

The fourth proportional to 171.35, 255.09 and 170.34 is: 253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.35 : 255.09 = 170.34 : x
  2. Step 2: Convert to fraction form
    171.35/255.09 = 170.34/x
  3. Step 3: Cross multiply
    171.35x = 255.09 × 170.34
  4. Step 4: Simplify right side
    171.35x = 43,450.97
  5. Step 5: Solve for x
    x = 43,450.97/171.35
  6. Step 6: Final answer
    x = 253.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.