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Finding the Fourth Proportional to 236.42, 324.89 and 225.72

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Solution

The fourth proportional to 236.42, 324.89 and 225.72 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.42 : 324.89 = 225.72 : x
  2. Step 2: Convert to fraction form
    236.42/324.89 = 225.72/x
  3. Step 3: Cross multiply
    236.42x = 324.89 × 225.72
  4. Step 4: Simplify right side
    236.42x = 73,335.16
  5. Step 5: Solve for x
    x = 73,335.16/236.42
  6. Step 6: Final answer
    x = 310.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.