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Finding the Fourth Proportional to 181.50, 271.84 and 138.09

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Solution

The fourth proportional to 181.50, 271.84 and 138.09 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.50 : 271.84 = 138.09 : x
  2. Step 2: Convert to fraction form
    181.50/271.84 = 138.09/x
  3. Step 3: Cross multiply
    181.50x = 271.84 × 138.09
  4. Step 4: Simplify right side
    181.50x = 37,538.39
  5. Step 5: Solve for x
    x = 37,538.39/181.50
  6. Step 6: Final answer
    x = 206.82

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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.