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Finding the Fourth Proportional to 357.21, 492.36 and 269.73

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Solution

The fourth proportional to 357.21, 492.36 and 269.73 is: 371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.21 : 492.36 = 269.73 : x
  2. Step 2: Convert to fraction form
    357.21/492.36 = 269.73/x
  3. Step 3: Cross multiply
    357.21x = 492.36 × 269.73
  4. Step 4: Simplify right side
    357.21x = 132,804.26
  5. Step 5: Solve for x
    x = 132,804.26/357.21
  6. Step 6: Final answer
    x = 371.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.