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Finding the Fourth Proportional to 406.30, 609.37 and 186.86

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Solution

The fourth proportional to 406.30, 609.37 and 186.86 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.30 : 609.37 = 186.86 : x
  2. Step 2: Convert to fraction form
    406.30/609.37 = 186.86/x
  3. Step 3: Cross multiply
    406.30x = 609.37 × 186.86
  4. Step 4: Simplify right side
    406.30x = 113,866.88
  5. Step 5: Solve for x
    x = 113,866.88/406.30
  6. Step 6: Final answer
    x = 280.25

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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.