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Finding the Fourth Proportional to 271.55, 406.76 and 173.57

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Solution

The fourth proportional to 271.55, 406.76 and 173.57 is: 259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.55 : 406.76 = 173.57 : x
  2. Step 2: Convert to fraction form
    271.55/406.76 = 173.57/x
  3. Step 3: Cross multiply
    271.55x = 406.76 × 173.57
  4. Step 4: Simplify right side
    271.55x = 70,601.33
  5. Step 5: Solve for x
    x = 70,601.33/271.55
  6. Step 6: Final answer
    x = 259.99

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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.