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Finding the Fourth Proportional to 245.20, 367.60 and 167.97

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Solution

The fourth proportional to 245.20, 367.60 and 167.97 is: 251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.20 : 367.60 = 167.97 : x
  2. Step 2: Convert to fraction form
    245.20/367.60 = 167.97/x
  3. Step 3: Cross multiply
    245.20x = 367.60 × 167.97
  4. Step 4: Simplify right side
    245.20x = 61,745.35
  5. Step 5: Solve for x
    x = 61,745.35/245.20
  6. Step 6: Final answer
    x = 251.82

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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.