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Finding the Fourth Proportional to 155.36, 213.52 and 120.80

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Solution

The fourth proportional to 155.36, 213.52 and 120.80 is: 166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.36 : 213.52 = 120.80 : x
  2. Step 2: Convert to fraction form
    155.36/213.52 = 120.80/x
  3. Step 3: Cross multiply
    155.36x = 213.52 × 120.80
  4. Step 4: Simplify right side
    155.36x = 25,793.22
  5. Step 5: Solve for x
    x = 25,793.22/155.36
  6. Step 6: Final answer
    x = 166.02

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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.