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Finding the Fourth Proportional to 391.78, 540.70 and 226.04

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Solution

The fourth proportional to 391.78, 540.70 and 226.04 is: 311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.78 : 540.70 = 226.04 : x
  2. Step 2: Convert to fraction form
    391.78/540.70 = 226.04/x
  3. Step 3: Cross multiply
    391.78x = 540.70 × 226.04
  4. Step 4: Simplify right side
    391.78x = 122,216.56
  5. Step 5: Solve for x
    x = 122,216.56/391.78
  6. Step 6: Final answer
    x = 311.95

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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.