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Finding the Fourth Proportional to 399.88, 599 and 204.30

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Solution

The fourth proportional to 399.88, 599 and 204.30 is: 306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.88 : 599 = 204.30 : x
  2. Step 2: Convert to fraction form
    399.88/599 = 204.30/x
  3. Step 3: Cross multiply
    399.88x = 599 × 204.30
  4. Step 4: Simplify right side
    399.88x = 122,375.70
  5. Step 5: Solve for x
    x = 122,375.70/399.88
  6. Step 6: Final answer
    x = 306.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.