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Finding the Fourth Proportional to 270.81, 404.53 and 201.96

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Solution

The fourth proportional to 270.81, 404.53 and 201.96 is: 301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.81 : 404.53 = 201.96 : x
  2. Step 2: Convert to fraction form
    270.81/404.53 = 201.96/x
  3. Step 3: Cross multiply
    270.81x = 404.53 × 201.96
  4. Step 4: Simplify right side
    270.81x = 81,698.37
  5. Step 5: Solve for x
    x = 81,698.37/270.81
  6. Step 6: Final answer
    x = 301.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.