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Finding the Fourth Proportional to 396.98, 590.67 and 387.06

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Solution

The fourth proportional to 396.98, 590.67 and 387.06 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.98 : 590.67 = 387.06 : x
  2. Step 2: Convert to fraction form
    396.98/590.67 = 387.06/x
  3. Step 3: Cross multiply
    396.98x = 590.67 × 387.06
  4. Step 4: Simplify right side
    396.98x = 228,622.79
  5. Step 5: Solve for x
    x = 228,622.79/396.98
  6. Step 6: Final answer
    x = 575.91

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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.