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Finding the Fourth Proportional to 392.31, 541.39 and 217.67

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Solution

The fourth proportional to 392.31, 541.39 and 217.67 is: 300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.31 : 541.39 = 217.67 : x
  2. Step 2: Convert to fraction form
    392.31/541.39 = 217.67/x
  3. Step 3: Cross multiply
    392.31x = 541.39 × 217.67
  4. Step 4: Simplify right side
    392.31x = 117,844.36
  5. Step 5: Solve for x
    x = 117,844.36/392.31
  6. Step 6: Final answer
    x = 300.39

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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.