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Finding the Fourth Proportional to 409.31, 613.97 and 120.82

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Solution

The fourth proportional to 409.31, 613.97 and 120.82 is: 181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.31 : 613.97 = 120.82 : x
  2. Step 2: Convert to fraction form
    409.31/613.97 = 120.82/x
  3. Step 3: Cross multiply
    409.31x = 613.97 × 120.82
  4. Step 4: Simplify right side
    409.31x = 74,179.86
  5. Step 5: Solve for x
    x = 74,179.86/409.31
  6. Step 6: Final answer
    x = 181.23

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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.