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Finding the Fourth Proportional to 396.63, 591.45 and 350.16

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Solution

The fourth proportional to 396.63, 591.45 and 350.16 is: 522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 591.45 = 350.16 : x
  2. Step 2: Convert to fraction form
    396.63/591.45 = 350.16/x
  3. Step 3: Cross multiply
    396.63x = 591.45 × 350.16
  4. Step 4: Simplify right side
    396.63x = 207,100.57
  5. Step 5: Solve for x
    x = 207,100.57/396.63
  6. Step 6: Final answer
    x = 522.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.