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Finding the Fourth Proportional to 416.61, 622.49 and 338.58

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Solution

The fourth proportional to 416.61, 622.49 and 338.58 is: 505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.61 : 622.49 = 338.58 : x
  2. Step 2: Convert to fraction form
    416.61/622.49 = 338.58/x
  3. Step 3: Cross multiply
    416.61x = 622.49 × 338.58
  4. Step 4: Simplify right side
    416.61x = 210,760.97
  5. Step 5: Solve for x
    x = 210,760.97/416.61
  6. Step 6: Final answer
    x = 505.90

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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.