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Finding the Fourth Proportional to 383.43, 575.07 and 139.90

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Solution

The fourth proportional to 383.43, 575.07 and 139.90 is: 209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.43 : 575.07 = 139.90 : x
  2. Step 2: Convert to fraction form
    383.43/575.07 = 139.90/x
  3. Step 3: Cross multiply
    383.43x = 575.07 × 139.90
  4. Step 4: Simplify right side
    383.43x = 80,454.21
  5. Step 5: Solve for x
    x = 80,454.21/383.43
  6. Step 6: Final answer
    x = 209.83

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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.