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Finding the Fourth Proportional to 297.38, 409.96 and 238.54

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Solution

The fourth proportional to 297.38, 409.96 and 238.54 is: 328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.38 : 409.96 = 238.54 : x
  2. Step 2: Convert to fraction form
    297.38/409.96 = 238.54/x
  3. Step 3: Cross multiply
    297.38x = 409.96 × 238.54
  4. Step 4: Simplify right side
    297.38x = 97,791.86
  5. Step 5: Solve for x
    x = 97,791.86/297.38
  6. Step 6: Final answer
    x = 328.84

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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.