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Finding the Fourth Proportional to 226.40, 338.72 and 195.52

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Solution

The fourth proportional to 226.40, 338.72 and 195.52 is: 292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.40 : 338.72 = 195.52 : x
  2. Step 2: Convert to fraction form
    226.40/338.72 = 195.52/x
  3. Step 3: Cross multiply
    226.40x = 338.72 × 195.52
  4. Step 4: Simplify right side
    226.40x = 66,226.53
  5. Step 5: Solve for x
    x = 66,226.53/226.40
  6. Step 6: Final answer
    x = 292.52

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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.