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Finding the Fourth Proportional to 409.12, 612.24 and 300.64

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Solution

The fourth proportional to 409.12, 612.24 and 300.64 is: 449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.12 : 612.24 = 300.64 : x
  2. Step 2: Convert to fraction form
    409.12/612.24 = 300.64/x
  3. Step 3: Cross multiply
    409.12x = 612.24 × 300.64
  4. Step 4: Simplify right side
    409.12x = 184,063.83
  5. Step 5: Solve for x
    x = 184,063.83/409.12
  6. Step 6: Final answer
    x = 449.90

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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.