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Finding the Fourth Proportional to 396.63, 546.91 and 278.57

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Solution

The fourth proportional to 396.63, 546.91 and 278.57 is: 384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 546.91 = 278.57 : x
  2. Step 2: Convert to fraction form
    396.63/546.91 = 278.57/x
  3. Step 3: Cross multiply
    396.63x = 546.91 × 278.57
  4. Step 4: Simplify right side
    396.63x = 152,353.39
  5. Step 5: Solve for x
    x = 152,353.39/396.63
  6. Step 6: Final answer
    x = 384.12

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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.