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Finding the Fourth Proportional to 396, 594.14 and 287.60

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Solution

The fourth proportional to 396, 594.14 and 287.60 is: 431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 594.14 = 287.60 : x
  2. Step 2: Convert to fraction form
    396/594.14 = 287.60/x
  3. Step 3: Cross multiply
    396x = 594.14 × 287.60
  4. Step 4: Simplify right side
    396x = 170,874.66
  5. Step 5: Solve for x
    x = 170,874.66/396
  6. Step 6: Final answer
    x = 431.50

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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.