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Finding the Fourth Proportional to 271.93, 406.87 and 161.84

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Solution

The fourth proportional to 271.93, 406.87 and 161.84 is: 242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.93 : 406.87 = 161.84 : x
  2. Step 2: Convert to fraction form
    271.93/406.87 = 161.84/x
  3. Step 3: Cross multiply
    271.93x = 406.87 × 161.84
  4. Step 4: Simplify right side
    271.93x = 65,847.23
  5. Step 5: Solve for x
    x = 65,847.23/271.93
  6. Step 6: Final answer
    x = 242.15

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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.