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Finding the Fourth Proportional to 245.54, 367.99 and 113.72

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Solution

The fourth proportional to 245.54, 367.99 and 113.72 is: 170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.54 : 367.99 = 113.72 : x
  2. Step 2: Convert to fraction form
    245.54/367.99 = 113.72/x
  3. Step 3: Cross multiply
    245.54x = 367.99 × 113.72
  4. Step 4: Simplify right side
    245.54x = 41,847.37
  5. Step 5: Solve for x
    x = 41,847.37/245.54
  6. Step 6: Final answer
    x = 170.43

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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.