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Finding the Fourth Proportional to 406.10, 606.73 and 336.84

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Solution

The fourth proportional to 406.10, 606.73 and 336.84 is: 503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.10 : 606.73 = 336.84 : x
  2. Step 2: Convert to fraction form
    406.10/606.73 = 336.84/x
  3. Step 3: Cross multiply
    406.10x = 606.73 × 336.84
  4. Step 4: Simplify right side
    406.10x = 204,371.35
  5. Step 5: Solve for x
    x = 204,371.35/406.10
  6. Step 6: Final answer
    x = 503.26

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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.