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Finding the Fourth Proportional to 171.89, 256.76 and 113.63

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Solution

The fourth proportional to 171.89, 256.76 and 113.63 is: 169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.89 : 256.76 = 113.63 : x
  2. Step 2: Convert to fraction form
    171.89/256.76 = 113.63/x
  3. Step 3: Cross multiply
    171.89x = 256.76 × 113.63
  4. Step 4: Simplify right side
    171.89x = 29,175.64
  5. Step 5: Solve for x
    x = 29,175.64/171.89
  6. Step 6: Final answer
    x = 169.73

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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.