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Finding the Fourth Proportional to 245.25, 365.85 and 226.98

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Solution

The fourth proportional to 245.25, 365.85 and 226.98 is: 338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.25 : 365.85 = 226.98 : x
  2. Step 2: Convert to fraction form
    245.25/365.85 = 226.98/x
  3. Step 3: Cross multiply
    245.25x = 365.85 × 226.98
  4. Step 4: Simplify right side
    245.25x = 83,040.63
  5. Step 5: Solve for x
    x = 83,040.63/245.25
  6. Step 6: Final answer
    x = 338.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.