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Finding the Fourth Proportional to 417.46, 626.36 and 222.46

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Solution

The fourth proportional to 417.46, 626.36 and 222.46 is: 333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.46 : 626.36 = 222.46 : x
  2. Step 2: Convert to fraction form
    417.46/626.36 = 222.46/x
  3. Step 3: Cross multiply
    417.46x = 626.36 × 222.46
  4. Step 4: Simplify right side
    417.46x = 139,340.05
  5. Step 5: Solve for x
    x = 139,340.05/417.46
  6. Step 6: Final answer
    x = 333.78

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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.