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Finding the Fourth Proportional to 396.32, 546.87 and 246.93

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Solution

The fourth proportional to 396.32, 546.87 and 246.93 is: 340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.32 : 546.87 = 246.93 : x
  2. Step 2: Convert to fraction form
    396.32/546.87 = 246.93/x
  3. Step 3: Cross multiply
    396.32x = 546.87 × 246.93
  4. Step 4: Simplify right side
    396.32x = 135,040.56
  5. Step 5: Solve for x
    x = 135,040.56/396.32
  6. Step 6: Final answer
    x = 340.74

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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.