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Finding the Fourth Proportional to 392.03, 541.00 and 217.37

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Solution

The fourth proportional to 392.03, 541.00 and 217.37 is: 299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.03 : 541.00 = 217.37 : x
  2. Step 2: Convert to fraction form
    392.03/541.00 = 217.37/x
  3. Step 3: Cross multiply
    392.03x = 541.00 × 217.37
  4. Step 4: Simplify right side
    392.03x = 117,597.98
  5. Step 5: Solve for x
    x = 117,597.98/392.03
  6. Step 6: Final answer
    x = 299.97

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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.