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Finding the Fourth Proportional to 236.62, 323.64 and 232.84

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Solution

The fourth proportional to 236.62, 323.64 and 232.84 is: 318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.62 : 323.64 = 232.84 : x
  2. Step 2: Convert to fraction form
    236.62/323.64 = 232.84/x
  3. Step 3: Cross multiply
    236.62x = 323.64 × 232.84
  4. Step 4: Simplify right side
    236.62x = 75,356.34
  5. Step 5: Solve for x
    x = 75,356.34/236.62
  6. Step 6: Final answer
    x = 318.47

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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.