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Finding the Fourth Proportional to 396.74, 594.90 and 259.86

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Solution

The fourth proportional to 396.74, 594.90 and 259.86 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.74 : 594.90 = 259.86 : x
  2. Step 2: Convert to fraction form
    396.74/594.90 = 259.86/x
  3. Step 3: Cross multiply
    396.74x = 594.90 × 259.86
  4. Step 4: Simplify right side
    396.74x = 154,590.71
  5. Step 5: Solve for x
    x = 154,590.71/396.74
  6. Step 6: Final answer
    x = 389.65

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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.