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Finding the Fourth Proportional to 465.09, 699.18 and 329.11

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Solution

The fourth proportional to 465.09, 699.18 and 329.11 is: 494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.09 : 699.18 = 329.11 : x
  2. Step 2: Convert to fraction form
    465.09/699.18 = 329.11/x
  3. Step 3: Cross multiply
    465.09x = 699.18 × 329.11
  4. Step 4: Simplify right side
    465.09x = 230,107.13
  5. Step 5: Solve for x
    x = 230,107.13/465.09
  6. Step 6: Final answer
    x = 494.76

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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.