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Finding the Fourth Proportional to 171.86, 257.87 and 85.19

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Solution

The fourth proportional to 171.86, 257.87 and 85.19 is: 127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.86 : 257.87 = 85.19 : x
  2. Step 2: Convert to fraction form
    171.86/257.87 = 85.19/x
  3. Step 3: Cross multiply
    171.86x = 257.87 × 85.19
  4. Step 4: Simplify right side
    171.86x = 21,967.95
  5. Step 5: Solve for x
    x = 21,967.95/171.86
  6. Step 6: Final answer
    x = 127.82

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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.