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Finding the Fourth Proportional to 307.82, 462.09 and 186.14

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Solution

The fourth proportional to 307.82, 462.09 and 186.14 is: 279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 462.09 = 186.14 : x
  2. Step 2: Convert to fraction form
    307.82/462.09 = 186.14/x
  3. Step 3: Cross multiply
    307.82x = 462.09 × 186.14
  4. Step 4: Simplify right side
    307.82x = 86,013.43
  5. Step 5: Solve for x
    x = 86,013.43/307.82
  6. Step 6: Final answer
    x = 279.43

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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.