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Finding the Fourth Proportional to 271.75, 408.44 and 181.00

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Solution

The fourth proportional to 271.75, 408.44 and 181.00 is: 272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.75 : 408.44 = 181.00 : x
  2. Step 2: Convert to fraction form
    271.75/408.44 = 181.00/x
  3. Step 3: Cross multiply
    271.75x = 408.44 × 181.00
  4. Step 4: Simplify right side
    271.75x = 73,925.60
  5. Step 5: Solve for x
    x = 73,925.60/271.75
  6. Step 6: Final answer
    x = 272.04

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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.