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Finding the Fourth Proportional to 171.68, 256.16 and 161.36

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Solution

The fourth proportional to 171.68, 256.16 and 161.36 is: 240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.68 : 256.16 = 161.36 : x
  2. Step 2: Convert to fraction form
    171.68/256.16 = 161.36/x
  3. Step 3: Cross multiply
    171.68x = 256.16 × 161.36
  4. Step 4: Simplify right side
    171.68x = 41,333.98
  5. Step 5: Solve for x
    x = 41,333.98/171.68
  6. Step 6: Final answer
    x = 240.76

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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.