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Finding the Fourth Proportional to 271.80, 405.54 and 235.80

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Solution

The fourth proportional to 271.80, 405.54 and 235.80 is: 351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.80 : 405.54 = 235.80 : x
  2. Step 2: Convert to fraction form
    271.80/405.54 = 235.80/x
  3. Step 3: Cross multiply
    271.80x = 405.54 × 235.80
  4. Step 4: Simplify right side
    271.80x = 95,626.33
  5. Step 5: Solve for x
    x = 95,626.33/271.80
  6. Step 6: Final answer
    x = 351.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.