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Finding the Fourth Proportional to 392.36, 538.21 and 357.80

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Solution

The fourth proportional to 392.36, 538.21 and 357.80 is: 490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.36 : 538.21 = 357.80 : x
  2. Step 2: Convert to fraction form
    392.36/538.21 = 357.80/x
  3. Step 3: Cross multiply
    392.36x = 538.21 × 357.80
  4. Step 4: Simplify right side
    392.36x = 192,571.54
  5. Step 5: Solve for x
    x = 192,571.54/392.36
  6. Step 6: Final answer
    x = 490.80

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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.