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Finding the Fourth Proportional to 171.14, 255.67 and 170.24

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Solution

The fourth proportional to 171.14, 255.67 and 170.24 is: 254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 255.67 = 170.24 : x
  2. Step 2: Convert to fraction form
    171.14/255.67 = 170.24/x
  3. Step 3: Cross multiply
    171.14x = 255.67 × 170.24
  4. Step 4: Simplify right side
    171.14x = 43,525.26
  5. Step 5: Solve for x
    x = 43,525.26/171.14
  6. Step 6: Final answer
    x = 254.33

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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.