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Finding the Fourth Proportional to 396.63, 594.05 and 286.60

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Solution

The fourth proportional to 396.63, 594.05 and 286.60 is: 429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 594.05 = 286.60 : x
  2. Step 2: Convert to fraction form
    396.63/594.05 = 286.60/x
  3. Step 3: Cross multiply
    396.63x = 594.05 × 286.60
  4. Step 4: Simplify right side
    396.63x = 170,254.54
  5. Step 5: Solve for x
    x = 170,254.54/396.63
  6. Step 6: Final answer
    x = 429.25

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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.