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Finding the Fourth Proportional to 396.70, 546.69 and 344.86

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Solution

The fourth proportional to 396.70, 546.69 and 344.86 is: 475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.70 : 546.69 = 344.86 : x
  2. Step 2: Convert to fraction form
    396.70/546.69 = 344.86/x
  3. Step 3: Cross multiply
    396.70x = 546.69 × 344.86
  4. Step 4: Simplify right side
    396.70x = 188,531.51
  5. Step 5: Solve for x
    x = 188,531.51/396.70
  6. Step 6: Final answer
    x = 475.25

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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.