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Finding the Fourth Proportional to 271.54, 408.76 and 246.40

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Solution

The fourth proportional to 271.54, 408.76 and 246.40 is: 370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.54 : 408.76 = 246.40 : x
  2. Step 2: Convert to fraction form
    271.54/408.76 = 246.40/x
  3. Step 3: Cross multiply
    271.54x = 408.76 × 246.40
  4. Step 4: Simplify right side
    271.54x = 100,718.46
  5. Step 5: Solve for x
    x = 100,718.46/271.54
  6. Step 6: Final answer
    x = 370.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.