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Finding the Fourth Proportional to 449.08, 673.32 and 205.28

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Solution

The fourth proportional to 449.08, 673.32 and 205.28 is: 307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.08 : 673.32 = 205.28 : x
  2. Step 2: Convert to fraction form
    449.08/673.32 = 205.28/x
  3. Step 3: Cross multiply
    449.08x = 673.32 × 205.28
  4. Step 4: Simplify right side
    449.08x = 138,219.13
  5. Step 5: Solve for x
    x = 138,219.13/449.08
  6. Step 6: Final answer
    x = 307.78

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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.