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Finding the Fourth Proportional to 399.67, 596.69 and 338.16

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Solution

The fourth proportional to 399.67, 596.69 and 338.16 is: 504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.67 : 596.69 = 338.16 : x
  2. Step 2: Convert to fraction form
    399.67/596.69 = 338.16/x
  3. Step 3: Cross multiply
    399.67x = 596.69 × 338.16
  4. Step 4: Simplify right side
    399.67x = 201,776.69
  5. Step 5: Solve for x
    x = 201,776.69/399.67
  6. Step 6: Final answer
    x = 504.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.