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Finding the Fourth Proportional to 271.66, 376.63 and 255.10

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Solution

The fourth proportional to 271.66, 376.63 and 255.10 is: 353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.66 : 376.63 = 255.10 : x
  2. Step 2: Convert to fraction form
    271.66/376.63 = 255.10/x
  3. Step 3: Cross multiply
    271.66x = 376.63 × 255.10
  4. Step 4: Simplify right side
    271.66x = 96,078.31
  5. Step 5: Solve for x
    x = 96,078.31/271.66
  6. Step 6: Final answer
    x = 353.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.