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Finding the Fourth Proportional to 323.68, 485.64 and 238

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Solution

The fourth proportional to 323.68, 485.64 and 238 is: 357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.68 : 485.64 = 238 : x
  2. Step 2: Convert to fraction form
    323.68/485.64 = 238/x
  3. Step 3: Cross multiply
    323.68x = 485.64 × 238
  4. Step 4: Simplify right side
    323.68x = 115,582.32
  5. Step 5: Solve for x
    x = 115,582.32/323.68
  6. Step 6: Final answer
    x = 357.09

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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.