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Finding the Fourth Proportional to 325.62, 449.66 and 209.38

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Solution

The fourth proportional to 325.62, 449.66 and 209.38 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.62 : 449.66 = 209.38 : x
  2. Step 2: Convert to fraction form
    325.62/449.66 = 209.38/x
  3. Step 3: Cross multiply
    325.62x = 449.66 × 209.38
  4. Step 4: Simplify right side
    325.62x = 94,149.89
  5. Step 5: Solve for x
    x = 94,149.89/325.62
  6. Step 6: Final answer
    x = 289.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.