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Finding the Fourth Proportional to 396.63, 546.77 and 278.25

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Solution

The fourth proportional to 396.63, 546.77 and 278.25 is: 383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 546.77 = 278.25 : x
  2. Step 2: Convert to fraction form
    396.63/546.77 = 278.25/x
  3. Step 3: Cross multiply
    396.63x = 546.77 × 278.25
  4. Step 4: Simplify right side
    396.63x = 152,138.75
  5. Step 5: Solve for x
    x = 152,138.75/396.63
  6. Step 6: Final answer
    x = 383.58

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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.