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Finding the Fourth Proportional to 371.73, 559.77 and 269.73

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Solution

The fourth proportional to 371.73, 559.77 and 269.73 is: 406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.73 : 559.77 = 269.73 : x
  2. Step 2: Convert to fraction form
    371.73/559.77 = 269.73/x
  3. Step 3: Cross multiply
    371.73x = 559.77 × 269.73
  4. Step 4: Simplify right side
    371.73x = 150,986.76
  5. Step 5: Solve for x
    x = 150,986.76/371.73
  6. Step 6: Final answer
    x = 406.17

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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.