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Finding the Fourth Proportional to 226.51, 337.81 and 204.64

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Solution

The fourth proportional to 226.51, 337.81 and 204.64 is: 305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.51 : 337.81 = 204.64 : x
  2. Step 2: Convert to fraction form
    226.51/337.81 = 204.64/x
  3. Step 3: Cross multiply
    226.51x = 337.81 × 204.64
  4. Step 4: Simplify right side
    226.51x = 69,129.44
  5. Step 5: Solve for x
    x = 69,129.44/226.51
  6. Step 6: Final answer
    x = 305.19

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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.