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Finding the Fourth Proportional to 271.95, 408.74 and 239.55

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Solution

The fourth proportional to 271.95, 408.74 and 239.55 is: 360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.95 : 408.74 = 239.55 : x
  2. Step 2: Convert to fraction form
    271.95/408.74 = 239.55/x
  3. Step 3: Cross multiply
    271.95x = 408.74 × 239.55
  4. Step 4: Simplify right side
    271.95x = 97,913.67
  5. Step 5: Solve for x
    x = 97,913.67/271.95
  6. Step 6: Final answer
    x = 360.04

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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.