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Finding the Fourth Proportional to 271.09, 405.73 and 162.96

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Solution

The fourth proportional to 271.09, 405.73 and 162.96 is: 243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.09 : 405.73 = 162.96 : x
  2. Step 2: Convert to fraction form
    271.09/405.73 = 162.96/x
  3. Step 3: Cross multiply
    271.09x = 405.73 × 162.96
  4. Step 4: Simplify right side
    271.09x = 66,114.92
  5. Step 5: Solve for x
    x = 66,114.92/271.09
  6. Step 6: Final answer
    x = 243.89

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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.