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Finding the Fourth Proportional to 226.08, 337.63 and 197.28

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Solution

The fourth proportional to 226.08, 337.63 and 197.28 is: 294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.08 : 337.63 = 197.28 : x
  2. Step 2: Convert to fraction form
    226.08/337.63 = 197.28/x
  3. Step 3: Cross multiply
    226.08x = 337.63 × 197.28
  4. Step 4: Simplify right side
    226.08x = 66,607.65
  5. Step 5: Solve for x
    x = 66,607.65/226.08
  6. Step 6: Final answer
    x = 294.62

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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.