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Finding the Fourth Proportional to 433.75, 649 and 270.67

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Solution

The fourth proportional to 433.75, 649 and 270.67 is: 404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.75 : 649 = 270.67 : x
  2. Step 2: Convert to fraction form
    433.75/649 = 270.67/x
  3. Step 3: Cross multiply
    433.75x = 649 × 270.67
  4. Step 4: Simplify right side
    433.75x = 175,664.83
  5. Step 5: Solve for x
    x = 175,664.83/433.75
  6. Step 6: Final answer
    x = 404.99

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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.