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Finding the Fourth Proportional to 396.52, 590.99 and 395.91

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Solution

The fourth proportional to 396.52, 590.99 and 395.91 is: 590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.52 : 590.99 = 395.91 : x
  2. Step 2: Convert to fraction form
    396.52/590.99 = 395.91/x
  3. Step 3: Cross multiply
    396.52x = 590.99 × 395.91
  4. Step 4: Simplify right side
    396.52x = 233,976.87
  5. Step 5: Solve for x
    x = 233,976.87/396.52
  6. Step 6: Final answer
    x = 590.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.