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Finding the Fourth Proportional to 171.79, 256.77 and 141.41

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Solution

The fourth proportional to 171.79, 256.77 and 141.41 is: 211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.79 : 256.77 = 141.41 : x
  2. Step 2: Convert to fraction form
    171.79/256.77 = 141.41/x
  3. Step 3: Cross multiply
    171.79x = 256.77 × 141.41
  4. Step 4: Simplify right side
    171.79x = 36,310.49
  5. Step 5: Solve for x
    x = 36,310.49/171.79
  6. Step 6: Final answer
    x = 211.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.