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Finding the Fourth Proportional to 216.92, 324.96 and 162.84

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Solution

The fourth proportional to 216.92, 324.96 and 162.84 is: 243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.92 : 324.96 = 162.84 : x
  2. Step 2: Convert to fraction form
    216.92/324.96 = 162.84/x
  3. Step 3: Cross multiply
    216.92x = 324.96 × 162.84
  4. Step 4: Simplify right side
    216.92x = 52,916.49
  5. Step 5: Solve for x
    x = 52,916.49/216.92
  6. Step 6: Final answer
    x = 243.94

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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.