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Finding the Fourth Proportional to 227.03, 338.69 and 186.32

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Solution

The fourth proportional to 227.03, 338.69 and 186.32 is: 277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.03 : 338.69 = 186.32 : x
  2. Step 2: Convert to fraction form
    227.03/338.69 = 186.32/x
  3. Step 3: Cross multiply
    227.03x = 338.69 × 186.32
  4. Step 4: Simplify right side
    227.03x = 63,106.03
  5. Step 5: Solve for x
    x = 63,106.03/227.03
  6. Step 6: Final answer
    x = 277.97

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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.