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Finding the Fourth Proportional to 396.16, 546.55 and 238.75

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Solution

The fourth proportional to 396.16, 546.55 and 238.75 is: 329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.16 : 546.55 = 238.75 : x
  2. Step 2: Convert to fraction form
    396.16/546.55 = 238.75/x
  3. Step 3: Cross multiply
    396.16x = 546.55 × 238.75
  4. Step 4: Simplify right side
    396.16x = 130,486.85
  5. Step 5: Solve for x
    x = 130,486.85/396.16
  6. Step 6: Final answer
    x = 329.38

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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.