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Finding the Fourth Proportional to 275.22, 380.01 and 181.94

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Solution

The fourth proportional to 275.22, 380.01 and 181.94 is: 251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 380.01 = 181.94 : x
  2. Step 2: Convert to fraction form
    275.22/380.01 = 181.94/x
  3. Step 3: Cross multiply
    275.22x = 380.01 × 181.94
  4. Step 4: Simplify right side
    275.22x = 69,137.12
  5. Step 5: Solve for x
    x = 69,137.12/275.22
  6. Step 6: Final answer
    x = 251.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.