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Finding the Fourth Proportional to 383.44, 575.11 and 260.83

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Solution

The fourth proportional to 383.44, 575.11 and 260.83 is: 391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.44 : 575.11 = 260.83 : x
  2. Step 2: Convert to fraction form
    383.44/575.11 = 260.83/x
  3. Step 3: Cross multiply
    383.44x = 575.11 × 260.83
  4. Step 4: Simplify right side
    383.44x = 150,005.94
  5. Step 5: Solve for x
    x = 150,005.94/383.44
  6. Step 6: Final answer
    x = 391.21

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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.