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Finding the Fourth Proportional to 471.90, 707.22 and 227.94

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Solution

The fourth proportional to 471.90, 707.22 and 227.94 is: 341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.90 : 707.22 = 227.94 : x
  2. Step 2: Convert to fraction form
    471.90/707.22 = 227.94/x
  3. Step 3: Cross multiply
    471.90x = 707.22 × 227.94
  4. Step 4: Simplify right side
    471.90x = 161,203.73
  5. Step 5: Solve for x
    x = 161,203.73/471.90
  6. Step 6: Final answer
    x = 341.61

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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.