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Finding the Fourth Proportional to 171.01, 256.31 and 119.37

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Solution

The fourth proportional to 171.01, 256.31 and 119.37 is: 178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.01 : 256.31 = 119.37 : x
  2. Step 2: Convert to fraction form
    171.01/256.31 = 119.37/x
  3. Step 3: Cross multiply
    171.01x = 256.31 × 119.37
  4. Step 4: Simplify right side
    171.01x = 30,595.72
  5. Step 5: Solve for x
    x = 30,595.72/171.01
  6. Step 6: Final answer
    x = 178.91

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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.