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Finding the Fourth Proportional to 392.11, 540.96 and 252.21

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Solution

The fourth proportional to 392.11, 540.96 and 252.21 is: 347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.11 : 540.96 = 252.21 : x
  2. Step 2: Convert to fraction form
    392.11/540.96 = 252.21/x
  3. Step 3: Cross multiply
    392.11x = 540.96 × 252.21
  4. Step 4: Simplify right side
    392.11x = 136,432.55
  5. Step 5: Solve for x
    x = 136,432.55/392.11
  6. Step 6: Final answer
    x = 347.95

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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.