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Finding the Fourth Proportional to 307.36, 460.83 and 199.22

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Solution

The fourth proportional to 307.36, 460.83 and 199.22 is: 298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.36 : 460.83 = 199.22 : x
  2. Step 2: Convert to fraction form
    307.36/460.83 = 199.22/x
  3. Step 3: Cross multiply
    307.36x = 460.83 × 199.22
  4. Step 4: Simplify right side
    307.36x = 91,806.55
  5. Step 5: Solve for x
    x = 91,806.55/307.36
  6. Step 6: Final answer
    x = 298.70

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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.