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Finding the Fourth Proportional to 445.36, 667.56 and 201.40

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Solution

The fourth proportional to 445.36, 667.56 and 201.40 is: 301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.36 : 667.56 = 201.40 : x
  2. Step 2: Convert to fraction form
    445.36/667.56 = 201.40/x
  3. Step 3: Cross multiply
    445.36x = 667.56 × 201.40
  4. Step 4: Simplify right side
    445.36x = 134,446.58
  5. Step 5: Solve for x
    x = 134,446.58/445.36
  6. Step 6: Final answer
    x = 301.88

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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.