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Finding the Fourth Proportional to 155.40, 213.49 and 126.20

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Solution

The fourth proportional to 155.40, 213.49 and 126.20 is: 173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.40 : 213.49 = 126.20 : x
  2. Step 2: Convert to fraction form
    155.40/213.49 = 126.20/x
  3. Step 3: Cross multiply
    155.40x = 213.49 × 126.20
  4. Step 4: Simplify right side
    155.40x = 26,942.44
  5. Step 5: Solve for x
    x = 26,942.44/155.40
  6. Step 6: Final answer
    x = 173.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.