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Finding the Fourth Proportional to 392.67, 541.64 and 226.85

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Solution

The fourth proportional to 392.67, 541.64 and 226.85 is: 312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.67 : 541.64 = 226.85 : x
  2. Step 2: Convert to fraction form
    392.67/541.64 = 226.85/x
  3. Step 3: Cross multiply
    392.67x = 541.64 × 226.85
  4. Step 4: Simplify right side
    392.67x = 122,868.89
  5. Step 5: Solve for x
    x = 122,868.89/392.67
  6. Step 6: Final answer
    x = 312.91

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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.