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Finding the Fourth Proportional to 236.16, 324.96 and 216.96

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Solution

The fourth proportional to 236.16, 324.96 and 216.96 is: 298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.16 : 324.96 = 216.96 : x
  2. Step 2: Convert to fraction form
    236.16/324.96 = 216.96/x
  3. Step 3: Cross multiply
    236.16x = 324.96 × 216.96
  4. Step 4: Simplify right side
    236.16x = 70,503.32
  5. Step 5: Solve for x
    x = 70,503.32/236.16
  6. Step 6: Final answer
    x = 298.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.