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Finding the Fourth Proportional to 406.29, 608.49 and 200.21

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Solution

The fourth proportional to 406.29, 608.49 and 200.21 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.29 : 608.49 = 200.21 : x
  2. Step 2: Convert to fraction form
    406.29/608.49 = 200.21/x
  3. Step 3: Cross multiply
    406.29x = 608.49 × 200.21
  4. Step 4: Simplify right side
    406.29x = 121,827.30
  5. Step 5: Solve for x
    x = 121,827.30/406.29
  6. Step 6: Final answer
    x = 299.85

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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.