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Finding the Fourth Proportional to 396.94, 597.57 and 357.25

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Solution

The fourth proportional to 396.94, 597.57 and 357.25 is: 537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.94 : 597.57 = 357.25 : x
  2. Step 2: Convert to fraction form
    396.94/597.57 = 357.25/x
  3. Step 3: Cross multiply
    396.94x = 597.57 × 357.25
  4. Step 4: Simplify right side
    396.94x = 213,480.10
  5. Step 5: Solve for x
    x = 213,480.10/396.94
  6. Step 6: Final answer
    x = 537.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.