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Finding the Fourth Proportional to 181.50, 271.62 and 170.97

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Solution

The fourth proportional to 181.50, 271.62 and 170.97 is: 255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.50 : 271.62 = 170.97 : x
  2. Step 2: Convert to fraction form
    181.50/271.62 = 170.97/x
  3. Step 3: Cross multiply
    181.50x = 271.62 × 170.97
  4. Step 4: Simplify right side
    181.50x = 46,438.87
  5. Step 5: Solve for x
    x = 46,438.87/181.50
  6. Step 6: Final answer
    x = 255.86

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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.