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Finding the Fourth Proportional to 171.91, 255.96 and 171.10

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Solution

The fourth proportional to 171.91, 255.96 and 171.10 is: 254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.91 : 255.96 = 171.10 : x
  2. Step 2: Convert to fraction form
    171.91/255.96 = 171.10/x
  3. Step 3: Cross multiply
    171.91x = 255.96 × 171.10
  4. Step 4: Simplify right side
    171.91x = 43,794.76
  5. Step 5: Solve for x
    x = 43,794.76/171.91
  6. Step 6: Final answer
    x = 254.75

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