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Finding the Fourth Proportional to 396.40, 546.84 and 265.44

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Solution

The fourth proportional to 396.40, 546.84 and 265.44 is: 366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.40 : 546.84 = 265.44 : x
  2. Step 2: Convert to fraction form
    396.40/546.84 = 265.44/x
  3. Step 3: Cross multiply
    396.40x = 546.84 × 265.44
  4. Step 4: Simplify right side
    396.40x = 145,153.21
  5. Step 5: Solve for x
    x = 145,153.21/396.40
  6. Step 6: Final answer
    x = 366.18

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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.