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Finding the Fourth Proportional to 382.97, 531.20 and 369.85

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Solution

The fourth proportional to 382.97, 531.20 and 369.85 is: 513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.97 : 531.20 = 369.85 : x
  2. Step 2: Convert to fraction form
    382.97/531.20 = 369.85/x
  3. Step 3: Cross multiply
    382.97x = 531.20 × 369.85
  4. Step 4: Simplify right side
    382.97x = 196,464.32
  5. Step 5: Solve for x
    x = 196,464.32/382.97
  6. Step 6: Final answer
    x = 513.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.