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Finding the Fourth Proportional to 227.99, 341.07 and 146.28

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Solution

The fourth proportional to 227.99, 341.07 and 146.28 is: 218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.99 : 341.07 = 146.28 : x
  2. Step 2: Convert to fraction form
    227.99/341.07 = 146.28/x
  3. Step 3: Cross multiply
    227.99x = 341.07 × 146.28
  4. Step 4: Simplify right side
    227.99x = 49,891.72
  5. Step 5: Solve for x
    x = 49,891.72/227.99
  6. Step 6: Final answer
    x = 218.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.