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Finding the Fourth Proportional to 449.89, 675.12 and 206.62

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Solution

The fourth proportional to 449.89, 675.12 and 206.62 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.89 : 675.12 = 206.62 : x
  2. Step 2: Convert to fraction form
    449.89/675.12 = 206.62/x
  3. Step 3: Cross multiply
    449.89x = 675.12 × 206.62
  4. Step 4: Simplify right side
    449.89x = 139,493.29
  5. Step 5: Solve for x
    x = 139,493.29/449.89
  6. Step 6: Final answer
    x = 310.06

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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.