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Finding the Fourth Proportional to 445.09, 667.87 and 185.27

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Solution

The fourth proportional to 445.09, 667.87 and 185.27 is: 278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.09 : 667.87 = 185.27 : x
  2. Step 2: Convert to fraction form
    445.09/667.87 = 185.27/x
  3. Step 3: Cross multiply
    445.09x = 667.87 × 185.27
  4. Step 4: Simplify right side
    445.09x = 123,733.67
  5. Step 5: Solve for x
    x = 123,733.67/445.09
  6. Step 6: Final answer
    x = 278.00

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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.