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Finding the Fourth Proportional to 550.35, 759.53 and 301.67

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Solution

The fourth proportional to 550.35, 759.53 and 301.67 is: 416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.35 : 759.53 = 301.67 : x
  2. Step 2: Convert to fraction form
    550.35/759.53 = 301.67/x
  3. Step 3: Cross multiply
    550.35x = 759.53 × 301.67
  4. Step 4: Simplify right side
    550.35x = 229,129.80
  5. Step 5: Solve for x
    x = 229,129.80/550.35
  6. Step 6: Final answer
    x = 416.33

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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.