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Finding the Fourth Proportional to 307.09, 461.09 and 191.59

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Solution

The fourth proportional to 307.09, 461.09 and 191.59 is: 287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.09 : 461.09 = 191.59 : x
  2. Step 2: Convert to fraction form
    307.09/461.09 = 191.59/x
  3. Step 3: Cross multiply
    307.09x = 461.09 × 191.59
  4. Step 4: Simplify right side
    307.09x = 88,340.86
  5. Step 5: Solve for x
    x = 88,340.86/307.09
  6. Step 6: Final answer
    x = 287.67

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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.