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Finding the Fourth Proportional to 449.12, 676.12 and 305.76

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Solution

The fourth proportional to 449.12, 676.12 and 305.76 is: 460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.12 : 676.12 = 305.76 : x
  2. Step 2: Convert to fraction form
    449.12/676.12 = 305.76/x
  3. Step 3: Cross multiply
    449.12x = 676.12 × 305.76
  4. Step 4: Simplify right side
    449.12x = 206,730.45
  5. Step 5: Solve for x
    x = 206,730.45/449.12
  6. Step 6: Final answer
    x = 460.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.