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Finding the Fourth Proportional to 445.53, 668.05 and 185.25

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Solution

The fourth proportional to 445.53, 668.05 and 185.25 is: 277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.53 : 668.05 = 185.25 : x
  2. Step 2: Convert to fraction form
    445.53/668.05 = 185.25/x
  3. Step 3: Cross multiply
    445.53x = 668.05 × 185.25
  4. Step 4: Simplify right side
    445.53x = 123,755.34
  5. Step 5: Solve for x
    x = 123,755.34/445.53
  6. Step 6: Final answer
    x = 277.77

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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.