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Finding the Fourth Proportional to 181.17, 271.07 and 107.77

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Solution

The fourth proportional to 181.17, 271.07 and 107.77 is: 161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.17 : 271.07 = 107.77 : x
  2. Step 2: Convert to fraction form
    181.17/271.07 = 107.77/x
  3. Step 3: Cross multiply
    181.17x = 271.07 × 107.77
  4. Step 4: Simplify right side
    181.17x = 29,213.42
  5. Step 5: Solve for x
    x = 29,213.42/181.17
  6. Step 6: Final answer
    x = 161.25

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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.