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Finding the Fourth Proportional to 171.24, 256.97 and 68.51

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Solution

The fourth proportional to 171.24, 256.97 and 68.51 is: 102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 256.97 = 68.51 : x
  2. Step 2: Convert to fraction form
    171.24/256.97 = 68.51/x
  3. Step 3: Cross multiply
    171.24x = 256.97 × 68.51
  4. Step 4: Simplify right side
    171.24x = 17,604.67
  5. Step 5: Solve for x
    x = 17,604.67/171.24
  6. Step 6: Final answer
    x = 102.81

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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.