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Finding the Fourth Proportional to 236.54, 324.62 and 230.42

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Solution

The fourth proportional to 236.54, 324.62 and 230.42 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.54 : 324.62 = 230.42 : x
  2. Step 2: Convert to fraction form
    236.54/324.62 = 230.42/x
  3. Step 3: Cross multiply
    236.54x = 324.62 × 230.42
  4. Step 4: Simplify right side
    236.54x = 74,798.94
  5. Step 5: Solve for x
    x = 74,798.94/236.54
  6. Step 6: Final answer
    x = 316.22

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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.