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Finding the Fourth Proportional to 396.08, 593.26 and 287.63

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Solution

The fourth proportional to 396.08, 593.26 and 287.63 is: 430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.08 : 593.26 = 287.63 : x
  2. Step 2: Convert to fraction form
    396.08/593.26 = 287.63/x
  3. Step 3: Cross multiply
    396.08x = 593.26 × 287.63
  4. Step 4: Simplify right side
    396.08x = 170,639.37
  5. Step 5: Solve for x
    x = 170,639.37/396.08
  6. Step 6: Final answer
    x = 430.82

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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.