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Finding the Fourth Proportional to 382.82, 575.31 and 369.86

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Solution

The fourth proportional to 382.82, 575.31 and 369.86 is: 555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.82 : 575.31 = 369.86 : x
  2. Step 2: Convert to fraction form
    382.82/575.31 = 369.86/x
  3. Step 3: Cross multiply
    382.82x = 575.31 × 369.86
  4. Step 4: Simplify right side
    382.82x = 212,784.16
  5. Step 5: Solve for x
    x = 212,784.16/382.82
  6. Step 6: Final answer
    x = 555.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.