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Finding the Fourth Proportional to 396.40, 594.92 and 140.08

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Solution

The fourth proportional to 396.40, 594.92 and 140.08 is: 210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.40 : 594.92 = 140.08 : x
  2. Step 2: Convert to fraction form
    396.40/594.92 = 140.08/x
  3. Step 3: Cross multiply
    396.40x = 594.92 × 140.08
  4. Step 4: Simplify right side
    396.40x = 83,336.39
  5. Step 5: Solve for x
    x = 83,336.39/396.40
  6. Step 6: Final answer
    x = 210.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.