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Finding the Fourth Proportional to 181.98, 273.08 and 105.09

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Solution

The fourth proportional to 181.98, 273.08 and 105.09 is: 157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 273.08 = 105.09 : x
  2. Step 2: Convert to fraction form
    181.98/273.08 = 105.09/x
  3. Step 3: Cross multiply
    181.98x = 273.08 × 105.09
  4. Step 4: Simplify right side
    181.98x = 28,697.98
  5. Step 5: Solve for x
    x = 28,697.98/181.98
  6. Step 6: Final answer
    x = 157.70

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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.