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Finding the Fourth Proportional to 392.22, 540.84 and 298.26

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Solution

The fourth proportional to 392.22, 540.84 and 298.26 is: 411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.22 : 540.84 = 298.26 : x
  2. Step 2: Convert to fraction form
    392.22/540.84 = 298.26/x
  3. Step 3: Cross multiply
    392.22x = 540.84 × 298.26
  4. Step 4: Simplify right side
    392.22x = 161,310.94
  5. Step 5: Solve for x
    x = 161,310.94/392.22
  6. Step 6: Final answer
    x = 411.28

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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.