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Finding the Fourth Proportional to 396.26, 594.38 and 258.88

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Solution

The fourth proportional to 396.26, 594.38 and 258.88 is: 388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.26 : 594.38 = 258.88 : x
  2. Step 2: Convert to fraction form
    396.26/594.38 = 258.88/x
  3. Step 3: Cross multiply
    396.26x = 594.38 × 258.88
  4. Step 4: Simplify right side
    396.26x = 153,871.80
  5. Step 5: Solve for x
    x = 153,871.80/396.26
  6. Step 6: Final answer
    x = 388.32

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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.