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Finding the Fourth Proportional to 399.24, 598.97 and 168

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Solution

The fourth proportional to 399.24, 598.97 and 168 is: 252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.24 : 598.97 = 168 : x
  2. Step 2: Convert to fraction form
    399.24/598.97 = 168/x
  3. Step 3: Cross multiply
    399.24x = 598.97 × 168
  4. Step 4: Simplify right side
    399.24x = 100,626.12
  5. Step 5: Solve for x
    x = 100,626.12/399.24
  6. Step 6: Final answer
    x = 252.04

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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.