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Finding the Fourth Proportional to 181.45, 272.12 and 51.42

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Solution

The fourth proportional to 181.45, 272.12 and 51.42 is: 77.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.45 : 272.12 = 51.42 : x
  2. Step 2: Convert to fraction form
    181.45/272.12 = 51.42/x
  3. Step 3: Cross multiply
    181.45x = 272.12 × 51.42
  4. Step 4: Simplify right side
    181.45x = 13,992.54
  5. Step 5: Solve for x
    x = 13,992.54/181.45
  6. Step 6: Final answer
    x = 77.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.