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Finding the Fourth Proportional to 225.45, 336.35 and 205.27

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Solution

The fourth proportional to 225.45, 336.35 and 205.27 is: 306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.45 : 336.35 = 205.27 : x
  2. Step 2: Convert to fraction form
    225.45/336.35 = 205.27/x
  3. Step 3: Cross multiply
    225.45x = 336.35 × 205.27
  4. Step 4: Simplify right side
    225.45x = 69,042.24
  5. Step 5: Solve for x
    x = 69,042.24/225.45
  6. Step 6: Final answer
    x = 306.24

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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.