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Finding the Fourth Proportional to 396.66, 543.81 and 389.34

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Solution

The fourth proportional to 396.66, 543.81 and 389.34 is: 533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.66 : 543.81 = 389.34 : x
  2. Step 2: Convert to fraction form
    396.66/543.81 = 389.34/x
  3. Step 3: Cross multiply
    396.66x = 543.81 × 389.34
  4. Step 4: Simplify right side
    396.66x = 211,726.99
  5. Step 5: Solve for x
    x = 211,726.99/396.66
  6. Step 6: Final answer
    x = 533.77

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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.