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Finding the Fourth Proportional to 449.96, 676.12 and 233.68

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Solution

The fourth proportional to 449.96, 676.12 and 233.68 is: 351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.96 : 676.12 = 233.68 : x
  2. Step 2: Convert to fraction form
    449.96/676.12 = 233.68/x
  3. Step 3: Cross multiply
    449.96x = 676.12 × 233.68
  4. Step 4: Simplify right side
    449.96x = 157,995.72
  5. Step 5: Solve for x
    x = 157,995.72/449.96
  6. Step 6: Final answer
    x = 351.13

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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.