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Finding the Fourth Proportional to 392.71, 541.97 and 218.06

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Solution

The fourth proportional to 392.71, 541.97 and 218.06 is: 300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.71 : 541.97 = 218.06 : x
  2. Step 2: Convert to fraction form
    392.71/541.97 = 218.06/x
  3. Step 3: Cross multiply
    392.71x = 541.97 × 218.06
  4. Step 4: Simplify right side
    392.71x = 118,183.06
  5. Step 5: Solve for x
    x = 118,183.06/392.71
  6. Step 6: Final answer
    x = 300.94

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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.