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Finding the Fourth Proportional to 396.50, 597.07 and 294.54

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Solution

The fourth proportional to 396.50, 597.07 and 294.54 is: 443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 597.07 = 294.54 : x
  2. Step 2: Convert to fraction form
    396.50/597.07 = 294.54/x
  3. Step 3: Cross multiply
    396.50x = 597.07 × 294.54
  4. Step 4: Simplify right side
    396.50x = 175,859.13
  5. Step 5: Solve for x
    x = 175,859.13/396.50
  6. Step 6: Final answer
    x = 443.53

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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.