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Finding the Fourth Proportional to 181.47, 271.89 and 120.72

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Solution

The fourth proportional to 181.47, 271.89 and 120.72 is: 180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.47 : 271.89 = 120.72 : x
  2. Step 2: Convert to fraction form
    181.47/271.89 = 120.72/x
  3. Step 3: Cross multiply
    181.47x = 271.89 × 120.72
  4. Step 4: Simplify right side
    181.47x = 32,822.56
  5. Step 5: Solve for x
    x = 32,822.56/181.47
  6. Step 6: Final answer
    x = 180.87

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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.