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Finding the Fourth Proportional to 271.56, 407.60 and 211.34

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Solution

The fourth proportional to 271.56, 407.60 and 211.34 is: 317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.56 : 407.60 = 211.34 : x
  2. Step 2: Convert to fraction form
    271.56/407.60 = 211.34/x
  3. Step 3: Cross multiply
    271.56x = 407.60 × 211.34
  4. Step 4: Simplify right side
    271.56x = 86,142.18
  5. Step 5: Solve for x
    x = 86,142.18/271.56
  6. Step 6: Final answer
    x = 317.21

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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.