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Finding the Fourth Proportional to 450.66, 673.42 and 338.75

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Solution

The fourth proportional to 450.66, 673.42 and 338.75 is: 506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.66 : 673.42 = 338.75 : x
  2. Step 2: Convert to fraction form
    450.66/673.42 = 338.75/x
  3. Step 3: Cross multiply
    450.66x = 673.42 × 338.75
  4. Step 4: Simplify right side
    450.66x = 228,121.03
  5. Step 5: Solve for x
    x = 228,121.03/450.66
  6. Step 6: Final answer
    x = 506.19

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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.