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Finding the Fourth Proportional to 180.98, 250.82 and 162.75

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Solution

The fourth proportional to 180.98, 250.82 and 162.75 is: 225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 250.82 = 162.75 : x
  2. Step 2: Convert to fraction form
    180.98/250.82 = 162.75/x
  3. Step 3: Cross multiply
    180.98x = 250.82 × 162.75
  4. Step 4: Simplify right side
    180.98x = 40,821.36
  5. Step 5: Solve for x
    x = 40,821.36/180.98
  6. Step 6: Final answer
    x = 225.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.