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Finding the Fourth Proportional to 392.72, 541.95 and 226.94

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Solution

The fourth proportional to 392.72, 541.95 and 226.94 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.72 : 541.95 = 226.94 : x
  2. Step 2: Convert to fraction form
    392.72/541.95 = 226.94/x
  3. Step 3: Cross multiply
    392.72x = 541.95 × 226.94
  4. Step 4: Simplify right side
    392.72x = 122,990.13
  5. Step 5: Solve for x
    x = 122,990.13/392.72
  6. Step 6: Final answer
    x = 313.18

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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.