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Finding the Fourth Proportional to 240.75, 358.97 and 226.98

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Solution

The fourth proportional to 240.75, 358.97 and 226.98 is: 338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 358.97 = 226.98 : x
  2. Step 2: Convert to fraction form
    240.75/358.97 = 226.98/x
  3. Step 3: Cross multiply
    240.75x = 358.97 × 226.98
  4. Step 4: Simplify right side
    240.75x = 81,477.88
  5. Step 5: Solve for x
    x = 81,477.88/240.75
  6. Step 6: Final answer
    x = 338.43

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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.