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Finding the Third Proportional to 359.50 and 400

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Solution

The third proportional to 359.50 and 400 is: 445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.50 : 400 = 400 : x
  2. Step 2: Convert to fraction form
    359.50/400 = 400/x
  3. Step 3: Cross multiply
    359.50x = 400 × 400
  4. Step 4: Simplify right side
    359.50x = 160,000
  5. Step 5: Solve for x
    x = 160,000/359.50
  6. Step 6: Final answer
    x = 445.06

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.