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Finding the Fourth Proportional to 409.38, 613.90 and 165.84

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Solution

The fourth proportional to 409.38, 613.90 and 165.84 is: 248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 613.90 = 165.84 : x
  2. Step 2: Convert to fraction form
    409.38/613.90 = 165.84/x
  3. Step 3: Cross multiply
    409.38x = 613.90 × 165.84
  4. Step 4: Simplify right side
    409.38x = 101,809.18
  5. Step 5: Solve for x
    x = 101,809.18/409.38
  6. Step 6: Final answer
    x = 248.69

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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.