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Finding the Fourth Proportional to 392.11, 541.11 and 217.46

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Solution

The fourth proportional to 392.11, 541.11 and 217.46 is: 300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.11 : 541.11 = 217.46 : x
  2. Step 2: Convert to fraction form
    392.11/541.11 = 217.46/x
  3. Step 3: Cross multiply
    392.11x = 541.11 × 217.46
  4. Step 4: Simplify right side
    392.11x = 117,669.78
  5. Step 5: Solve for x
    x = 117,669.78/392.11
  6. Step 6: Final answer
    x = 300.09

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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.