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Finding the Fourth Proportional to 171.19, 257.97 and 142.94

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Solution

The fourth proportional to 171.19, 257.97 and 142.94 is: 215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.19 : 257.97 = 142.94 : x
  2. Step 2: Convert to fraction form
    171.19/257.97 = 142.94/x
  3. Step 3: Cross multiply
    171.19x = 257.97 × 142.94
  4. Step 4: Simplify right side
    171.19x = 36,874.88
  5. Step 5: Solve for x
    x = 36,874.88/171.19
  6. Step 6: Final answer
    x = 215.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.