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Finding the Fourth Proportional to 392, 540.90 and 217.34

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Solution

The fourth proportional to 392, 540.90 and 217.34 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392 : 540.90 = 217.34 : x
  2. Step 2: Convert to fraction form
    392/540.90 = 217.34/x
  3. Step 3: Cross multiply
    392x = 540.90 × 217.34
  4. Step 4: Simplify right side
    392x = 117,559.21
  5. Step 5: Solve for x
    x = 117,559.21/392
  6. Step 6: Final answer
    x = 299.90

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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.