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Finding the Fourth Proportional to 396.16, 546.42 and 264.94

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Solution

The fourth proportional to 396.16, 546.42 and 264.94 is: 365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.16 : 546.42 = 264.94 : x
  2. Step 2: Convert to fraction form
    396.16/546.42 = 264.94/x
  3. Step 3: Cross multiply
    396.16x = 546.42 × 264.94
  4. Step 4: Simplify right side
    396.16x = 144,768.51
  5. Step 5: Solve for x
    x = 144,768.51/396.16
  6. Step 6: Final answer
    x = 365.43

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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.