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Finding the Fourth Proportional to 181.03, 271.24 and 72.69

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Solution

The fourth proportional to 181.03, 271.24 and 72.69 is: 108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.03 : 271.24 = 72.69 : x
  2. Step 2: Convert to fraction form
    181.03/271.24 = 72.69/x
  3. Step 3: Cross multiply
    181.03x = 271.24 × 72.69
  4. Step 4: Simplify right side
    181.03x = 19,717.11
  5. Step 5: Solve for x
    x = 19,717.11/181.03
  6. Step 6: Final answer
    x = 108.92

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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.