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Finding the Fourth Proportional to 397.09, 547.81 and 239.68

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Solution

The fourth proportional to 397.09, 547.81 and 239.68 is: 330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.09 : 547.81 = 239.68 : x
  2. Step 2: Convert to fraction form
    397.09/547.81 = 239.68/x
  3. Step 3: Cross multiply
    397.09x = 547.81 × 239.68
  4. Step 4: Simplify right side
    397.09x = 131,299.10
  5. Step 5: Solve for x
    x = 131,299.10/397.09
  6. Step 6: Final answer
    x = 330.65

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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.