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Finding the Fourth Proportional to 366.05, 505.43 and 338.41

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Solution

The fourth proportional to 366.05, 505.43 and 338.41 is: 467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.05 : 505.43 = 338.41 : x
  2. Step 2: Convert to fraction form
    366.05/505.43 = 338.41/x
  3. Step 3: Cross multiply
    366.05x = 505.43 × 338.41
  4. Step 4: Simplify right side
    366.05x = 171,042.57
  5. Step 5: Solve for x
    x = 171,042.57/366.05
  6. Step 6: Final answer
    x = 467.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.