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Finding the Fourth Proportional to 392.24, 539.97 and 357.41

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Solution

The fourth proportional to 392.24, 539.97 and 357.41 is: 492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.24 : 539.97 = 357.41 : x
  2. Step 2: Convert to fraction form
    392.24/539.97 = 357.41/x
  3. Step 3: Cross multiply
    392.24x = 539.97 × 357.41
  4. Step 4: Simplify right side
    392.24x = 192,990.69
  5. Step 5: Solve for x
    x = 192,990.69/392.24
  6. Step 6: Final answer
    x = 492.02

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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.