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Finding the Fourth Proportional to 172, 257.94 and 80.56

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Solution

The fourth proportional to 172, 257.94 and 80.56 is: 120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172 : 257.94 = 80.56 : x
  2. Step 2: Convert to fraction form
    172/257.94 = 80.56/x
  3. Step 3: Cross multiply
    172x = 257.94 × 80.56
  4. Step 4: Simplify right side
    172x = 20,779.65
  5. Step 5: Solve for x
    x = 20,779.65/172
  6. Step 6: Final answer
    x = 120.81

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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.