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Finding the Fourth Proportional to 396.79, 546.37 and 313.63

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Solution

The fourth proportional to 396.79, 546.37 and 313.63 is: 431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.79 : 546.37 = 313.63 : x
  2. Step 2: Convert to fraction form
    396.79/546.37 = 313.63/x
  3. Step 3: Cross multiply
    396.79x = 546.37 × 313.63
  4. Step 4: Simplify right side
    396.79x = 171,358.02
  5. Step 5: Solve for x
    x = 171,358.02/396.79
  6. Step 6: Final answer
    x = 431.86

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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.