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Finding the Fourth Proportional to 392, 540.96 and 217.38

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Solution

The fourth proportional to 392, 540.96 and 217.38 is: 299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    392 : 540.96 = 217.38 : x
  2. Step 2: Convert to fraction form
    392/540.96 = 217.38/x
  3. Step 3: Cross multiply
    392x = 540.96 × 217.38
  4. Step 4: Simplify right side
    392x = 117,593.88
  5. Step 5: Solve for x
    x = 117,593.88/392
  6. Step 6: Final answer
    x = 299.98

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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.