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Finding the Fourth Proportional to 406.47, 609.77 and 190.05

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Solution

The fourth proportional to 406.47, 609.77 and 190.05 is: 285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.47 : 609.77 = 190.05 : x
  2. Step 2: Convert to fraction form
    406.47/609.77 = 190.05/x
  3. Step 3: Cross multiply
    406.47x = 609.77 × 190.05
  4. Step 4: Simplify right side
    406.47x = 115,884.98
  5. Step 5: Solve for x
    x = 115,884.98/406.47
  6. Step 6: Final answer
    x = 285.10

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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.