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Finding the Fourth Proportional to 271.80, 408.24 and 235.08

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Solution

The fourth proportional to 271.80, 408.24 and 235.08 is: 353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.80 : 408.24 = 235.08 : x
  2. Step 2: Convert to fraction form
    271.80/408.24 = 235.08/x
  3. Step 3: Cross multiply
    271.80x = 408.24 × 235.08
  4. Step 4: Simplify right side
    271.80x = 95,969.06
  5. Step 5: Solve for x
    x = 95,969.06/271.80
  6. Step 6: Final answer
    x = 353.09

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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.