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Finding the Fourth Proportional to 307.09, 459.37 and 255.80

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Solution

The fourth proportional to 307.09, 459.37 and 255.80 is: 382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.09 : 459.37 = 255.80 : x
  2. Step 2: Convert to fraction form
    307.09/459.37 = 255.80/x
  3. Step 3: Cross multiply
    307.09x = 459.37 × 255.80
  4. Step 4: Simplify right side
    307.09x = 117,506.85
  5. Step 5: Solve for x
    x = 117,506.85/307.09
  6. Step 6: Final answer
    x = 382.65

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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.