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Finding the Fourth Proportional to 445.78, 668.75 and 199.07

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Solution

The fourth proportional to 445.78, 668.75 and 199.07 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.78 : 668.75 = 199.07 : x
  2. Step 2: Convert to fraction form
    445.78/668.75 = 199.07/x
  3. Step 3: Cross multiply
    445.78x = 668.75 × 199.07
  4. Step 4: Simplify right side
    445.78x = 133,128.06
  5. Step 5: Solve for x
    x = 133,128.06/445.78
  6. Step 6: Final answer
    x = 298.64

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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.