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Finding the Fourth Proportional to 417.09, 626.20 and 270.85

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Solution

The fourth proportional to 417.09, 626.20 and 270.85 is: 406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.09 : 626.20 = 270.85 : x
  2. Step 2: Convert to fraction form
    417.09/626.20 = 270.85/x
  3. Step 3: Cross multiply
    417.09x = 626.20 × 270.85
  4. Step 4: Simplify right side
    417.09x = 169,604.92
  5. Step 5: Solve for x
    x = 169,604.92/417.09
  6. Step 6: Final answer
    x = 406.64

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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.