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Finding the Fourth Proportional to 406.46, 606.80 and 334.37

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Solution

The fourth proportional to 406.46, 606.80 and 334.37 is: 499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.46 : 606.80 = 334.37 : x
  2. Step 2: Convert to fraction form
    406.46/606.80 = 334.37/x
  3. Step 3: Cross multiply
    406.46x = 606.80 × 334.37
  4. Step 4: Simplify right side
    406.46x = 202,891.01
  5. Step 5: Solve for x
    x = 202,891.01/406.46
  6. Step 6: Final answer
    x = 499.17

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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.