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Finding the Fourth Proportional to 391.89, 540.73 and 298.47

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Solution

The fourth proportional to 391.89, 540.73 and 298.47 is: 411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.89 : 540.73 = 298.47 : x
  2. Step 2: Convert to fraction form
    391.89/540.73 = 298.47/x
  3. Step 3: Cross multiply
    391.89x = 540.73 × 298.47
  4. Step 4: Simplify right side
    391.89x = 161,390.19
  5. Step 5: Solve for x
    x = 161,390.19/391.89
  6. Step 6: Final answer
    x = 411.83

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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.