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Finding the Fourth Proportional to 171.91, 257.25 and 126.15

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Solution

The fourth proportional to 171.91, 257.25 and 126.15 is: 188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.91 : 257.25 = 126.15 : x
  2. Step 2: Convert to fraction form
    171.91/257.25 = 126.15/x
  3. Step 3: Cross multiply
    171.91x = 257.25 × 126.15
  4. Step 4: Simplify right side
    171.91x = 32,452.09
  5. Step 5: Solve for x
    x = 32,452.09/171.91
  6. Step 6: Final answer
    x = 188.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.