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Finding the Fourth Proportional to 391.39, 540.03 and 297.97

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Solution

The fourth proportional to 391.39, 540.03 and 297.97 is: 411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.39 : 540.03 = 297.97 : x
  2. Step 2: Convert to fraction form
    391.39/540.03 = 297.97/x
  3. Step 3: Cross multiply
    391.39x = 540.03 × 297.97
  4. Step 4: Simplify right side
    391.39x = 160,912.51
  5. Step 5: Solve for x
    x = 160,912.51/391.39
  6. Step 6: Final answer
    x = 411.13

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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.