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Finding the Fourth Proportional to 392, 541 and 226.26

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Solution

The fourth proportional to 392, 541 and 226.26 is: 312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392 : 541 = 226.26 : x
  2. Step 2: Convert to fraction form
    392/541 = 226.26/x
  3. Step 3: Cross multiply
    392x = 541 × 226.26
  4. Step 4: Simplify right side
    392x = 122,406.66
  5. Step 5: Solve for x
    x = 122,406.66/392
  6. Step 6: Final answer
    x = 312.26

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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.