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Finding the Fourth Proportional to 396.33, 594.21 and 149.50

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Solution

The fourth proportional to 396.33, 594.21 and 149.50 is: 224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.33 : 594.21 = 149.50 : x
  2. Step 2: Convert to fraction form
    396.33/594.21 = 149.50/x
  3. Step 3: Cross multiply
    396.33x = 594.21 × 149.50
  4. Step 4: Simplify right side
    396.33x = 88,831.42
  5. Step 5: Solve for x
    x = 88,831.42/396.33
  6. Step 6: Final answer
    x = 224.13

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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.