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Finding the Fourth Proportional to 406.33, 609.19 and 186.85

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Solution

The fourth proportional to 406.33, 609.19 and 186.85 is: 280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.33 : 609.19 = 186.85 : x
  2. Step 2: Convert to fraction form
    406.33/609.19 = 186.85/x
  3. Step 3: Cross multiply
    406.33x = 609.19 × 186.85
  4. Step 4: Simplify right side
    406.33x = 113,827.15
  5. Step 5: Solve for x
    x = 113,827.15/406.33
  6. Step 6: Final answer
    x = 280.13

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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.