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Finding the Fourth Proportional to 226.55, 341.40 and 204.90

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Solution

The fourth proportional to 226.55, 341.40 and 204.90 is: 308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.55 : 341.40 = 204.90 : x
  2. Step 2: Convert to fraction form
    226.55/341.40 = 204.90/x
  3. Step 3: Cross multiply
    226.55x = 341.40 × 204.90
  4. Step 4: Simplify right side
    226.55x = 69,952.86
  5. Step 5: Solve for x
    x = 69,952.86/226.55
  6. Step 6: Final answer
    x = 308.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.