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Finding the Fourth Proportional to 396.40, 546.13 and 313.48

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Solution

The fourth proportional to 396.40, 546.13 and 313.48 is: 431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.40 : 546.13 = 313.48 : x
  2. Step 2: Convert to fraction form
    396.40/546.13 = 313.48/x
  3. Step 3: Cross multiply
    396.40x = 546.13 × 313.48
  4. Step 4: Simplify right side
    396.40x = 171,200.83
  5. Step 5: Solve for x
    x = 171,200.83/396.40
  6. Step 6: Final answer
    x = 431.89

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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.