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Finding the Fourth Proportional to 409.19, 613.25 and 165.43

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Solution

The fourth proportional to 409.19, 613.25 and 165.43 is: 247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.19 : 613.25 = 165.43 : x
  2. Step 2: Convert to fraction form
    409.19/613.25 = 165.43/x
  3. Step 3: Cross multiply
    409.19x = 613.25 × 165.43
  4. Step 4: Simplify right side
    409.19x = 101,446.05
  5. Step 5: Solve for x
    x = 101,446.05/409.19
  6. Step 6: Final answer
    x = 247.92

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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.