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Finding the Fourth Proportional to 396.50, 589.72 and 388.30

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Solution

The fourth proportional to 396.50, 589.72 and 388.30 is: 577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 589.72 = 388.30 : x
  2. Step 2: Convert to fraction form
    396.50/589.72 = 388.30/x
  3. Step 3: Cross multiply
    396.50x = 589.72 × 388.30
  4. Step 4: Simplify right side
    396.50x = 228,988.28
  5. Step 5: Solve for x
    x = 228,988.28/396.50
  6. Step 6: Final answer
    x = 577.52

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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.