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Finding the Fourth Proportional to 396.18, 593.46 and 287.64

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Solution

The fourth proportional to 396.18, 593.46 and 287.64 is: 430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.18 : 593.46 = 287.64 : x
  2. Step 2: Convert to fraction form
    396.18/593.46 = 287.64/x
  3. Step 3: Cross multiply
    396.18x = 593.46 × 287.64
  4. Step 4: Simplify right side
    396.18x = 170,702.83
  5. Step 5: Solve for x
    x = 170,702.83/396.18
  6. Step 6: Final answer
    x = 430.87

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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.