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Finding the Fourth Proportional to 300.92, 451.66 and 185.59

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Solution

The fourth proportional to 300.92, 451.66 and 185.59 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 451.66 = 185.59 : x
  2. Step 2: Convert to fraction form
    300.92/451.66 = 185.59/x
  3. Step 3: Cross multiply
    300.92x = 451.66 × 185.59
  4. Step 4: Simplify right side
    300.92x = 83,824.03
  5. Step 5: Solve for x
    x = 83,824.03/300.92
  6. Step 6: Final answer
    x = 278.56

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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.