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Finding the Fourth Proportional to 237.26, 356.21 and 121.78

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Solution

The fourth proportional to 237.26, 356.21 and 121.78 is: 182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.26 : 356.21 = 121.78 : x
  2. Step 2: Convert to fraction form
    237.26/356.21 = 121.78/x
  3. Step 3: Cross multiply
    237.26x = 356.21 × 121.78
  4. Step 4: Simplify right side
    237.26x = 43,379.56
  5. Step 5: Solve for x
    x = 43,379.56/237.26
  6. Step 6: Final answer
    x = 182.84

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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.