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Finding the Fourth Proportional to 396.15, 546.74 and 221.50

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Solution

The fourth proportional to 396.15, 546.74 and 221.50 is: 305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.15 : 546.74 = 221.50 : x
  2. Step 2: Convert to fraction form
    396.15/546.74 = 221.50/x
  3. Step 3: Cross multiply
    396.15x = 546.74 × 221.50
  4. Step 4: Simplify right side
    396.15x = 121,102.91
  5. Step 5: Solve for x
    x = 121,102.91/396.15
  6. Step 6: Final answer
    x = 305.70

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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.