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Finding the Fourth Proportional to 406.49, 609.69 and 201.08

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Solution

The fourth proportional to 406.49, 609.69 and 201.08 is: 301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.49 : 609.69 = 201.08 : x
  2. Step 2: Convert to fraction form
    406.49/609.69 = 201.08/x
  3. Step 3: Cross multiply
    406.49x = 609.69 × 201.08
  4. Step 4: Simplify right side
    406.49x = 122,596.47
  5. Step 5: Solve for x
    x = 122,596.47/406.49
  6. Step 6: Final answer
    x = 301.60

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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.