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Finding the Fourth Proportional to 391.68, 537.32 and 385.20

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Solution

The fourth proportional to 391.68, 537.32 and 385.20 is: 528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.68 : 537.32 = 385.20 : x
  2. Step 2: Convert to fraction form
    391.68/537.32 = 385.20/x
  3. Step 3: Cross multiply
    391.68x = 537.32 × 385.20
  4. Step 4: Simplify right side
    391.68x = 206,975.66
  5. Step 5: Solve for x
    x = 206,975.66/391.68
  6. Step 6: Final answer
    x = 528.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.