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Finding the Fourth Proportional to 171.99, 257.86 and 80.64

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Solution

The fourth proportional to 171.99, 257.86 and 80.64 is: 120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.99 : 257.86 = 80.64 : x
  2. Step 2: Convert to fraction form
    171.99/257.86 = 80.64/x
  3. Step 3: Cross multiply
    171.99x = 257.86 × 80.64
  4. Step 4: Simplify right side
    171.99x = 20,793.83
  5. Step 5: Solve for x
    x = 20,793.83/171.99
  6. Step 6: Final answer
    x = 120.90

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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.