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Finding the Fourth Proportional to 550.66, 759.90 and 311.37

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Solution

The fourth proportional to 550.66, 759.90 and 311.37 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.66 : 759.90 = 311.37 : x
  2. Step 2: Convert to fraction form
    550.66/759.90 = 311.37/x
  3. Step 3: Cross multiply
    550.66x = 759.90 × 311.37
  4. Step 4: Simplify right side
    550.66x = 236,604.71
  5. Step 5: Solve for x
    x = 236,604.71/550.66
  6. Step 6: Final answer
    x = 429.67

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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.