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Finding the Fourth Proportional to 399.50, 599.25 and 110.94

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Solution

The fourth proportional to 399.50, 599.25 and 110.94 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.50 : 599.25 = 110.94 : x
  2. Step 2: Convert to fraction form
    399.50/599.25 = 110.94/x
  3. Step 3: Cross multiply
    399.50x = 599.25 × 110.94
  4. Step 4: Simplify right side
    399.50x = 66,480.80
  5. Step 5: Solve for x
    x = 66,480.80/399.50
  6. Step 6: Final answer
    x = 166.41

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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.