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Finding the Fourth Proportional to 399.65, 599.45 and 168.53

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Solution

The fourth proportional to 399.65, 599.45 and 168.53 is: 252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.65 : 599.45 = 168.53 : x
  2. Step 2: Convert to fraction form
    399.65/599.45 = 168.53/x
  3. Step 3: Cross multiply
    399.65x = 599.45 × 168.53
  4. Step 4: Simplify right side
    399.65x = 101,021.47
  5. Step 5: Solve for x
    x = 101,021.47/399.65
  6. Step 6: Final answer
    x = 252.78

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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.