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Finding the Fourth Proportional to 406.24, 609.36 and 149.76

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Solution

The fourth proportional to 406.24, 609.36 and 149.76 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.24 : 609.36 = 149.76 : x
  2. Step 2: Convert to fraction form
    406.24/609.36 = 149.76/x
  3. Step 3: Cross multiply
    406.24x = 609.36 × 149.76
  4. Step 4: Simplify right side
    406.24x = 91,257.75
  5. Step 5: Solve for x
    x = 91,257.75/406.24
  6. Step 6: Final answer
    x = 224.64

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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.