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Finding the Fourth Proportional to 380.38, 522.11 and 338.00

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Solution

The fourth proportional to 380.38, 522.11 and 338.00 is: 463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.38 : 522.11 = 338.00 : x
  2. Step 2: Convert to fraction form
    380.38/522.11 = 338.00/x
  3. Step 3: Cross multiply
    380.38x = 522.11 × 338.00
  4. Step 4: Simplify right side
    380.38x = 176,475.33
  5. Step 5: Solve for x
    x = 176,475.33/380.38
  6. Step 6: Final answer
    x = 463.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.