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Finding the Fourth Proportional to 181.85, 271.54 and 170.96

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Solution

The fourth proportional to 181.85, 271.54 and 170.96 is: 255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.85 : 271.54 = 170.96 : x
  2. Step 2: Convert to fraction form
    181.85/271.54 = 170.96/x
  3. Step 3: Cross multiply
    181.85x = 271.54 × 170.96
  4. Step 4: Simplify right side
    181.85x = 46,422.48
  5. Step 5: Solve for x
    x = 46,422.48/181.85
  6. Step 6: Final answer
    x = 255.28

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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.