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Finding the Fourth Proportional to 391.45, 539.10 and 382.95

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Solution

The fourth proportional to 391.45, 539.10 and 382.95 is: 527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.45 : 539.10 = 382.95 : x
  2. Step 2: Convert to fraction form
    391.45/539.10 = 382.95/x
  3. Step 3: Cross multiply
    391.45x = 539.10 × 382.95
  4. Step 4: Simplify right side
    391.45x = 206,448.35
  5. Step 5: Solve for x
    x = 206,448.35/391.45
  6. Step 6: Final answer
    x = 527.39

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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.