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Finding the Fourth Proportional to 396.90, 594.64 and 214.24

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Solution

The fourth proportional to 396.90, 594.64 and 214.24 is: 320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.90 : 594.64 = 214.24 : x
  2. Step 2: Convert to fraction form
    396.90/594.64 = 214.24/x
  3. Step 3: Cross multiply
    396.90x = 594.64 × 214.24
  4. Step 4: Simplify right side
    396.90x = 127,395.67
  5. Step 5: Solve for x
    x = 127,395.67/396.90
  6. Step 6: Final answer
    x = 320.98

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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.