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Finding the Fourth Proportional to 307.30, 459.99 and 198.85

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Solution

The fourth proportional to 307.30, 459.99 and 198.85 is: 297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.30 : 459.99 = 198.85 : x
  2. Step 2: Convert to fraction form
    307.30/459.99 = 198.85/x
  3. Step 3: Cross multiply
    307.30x = 459.99 × 198.85
  4. Step 4: Simplify right side
    307.30x = 91,469.01
  5. Step 5: Solve for x
    x = 91,469.01/307.30
  6. Step 6: Final answer
    x = 297.65

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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.