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Finding the Fourth Proportional to 396.15, 541.83 and 389.78

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Solution

The fourth proportional to 396.15, 541.83 and 389.78 is: 533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.15 : 541.83 = 389.78 : x
  2. Step 2: Convert to fraction form
    396.15/541.83 = 389.78/x
  3. Step 3: Cross multiply
    396.15x = 541.83 × 389.78
  4. Step 4: Simplify right side
    396.15x = 211,191.79
  5. Step 5: Solve for x
    x = 211,191.79/396.15
  6. Step 6: Final answer
    x = 533.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.