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Finding the Fourth Proportional to 272.96, 408.63 and 164.42

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Solution

The fourth proportional to 272.96, 408.63 and 164.42 is: 246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.96 : 408.63 = 164.42 : x
  2. Step 2: Convert to fraction form
    272.96/408.63 = 164.42/x
  3. Step 3: Cross multiply
    272.96x = 408.63 × 164.42
  4. Step 4: Simplify right side
    272.96x = 67,186.94
  5. Step 5: Solve for x
    x = 67,186.94/272.96
  6. Step 6: Final answer
    x = 246.14

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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.