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Finding the Fourth Proportional to 396.63, 547.65 and 314.16

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Solution

The fourth proportional to 396.63, 547.65 and 314.16 is: 433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 547.65 = 314.16 : x
  2. Step 2: Convert to fraction form
    396.63/547.65 = 314.16/x
  3. Step 3: Cross multiply
    396.63x = 547.65 × 314.16
  4. Step 4: Simplify right side
    396.63x = 172,049.72
  5. Step 5: Solve for x
    x = 172,049.72/396.63
  6. Step 6: Final answer
    x = 433.78

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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.