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Finding the Fourth Proportional to 393.54, 589.61 and 220.01

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Solution

The fourth proportional to 393.54, 589.61 and 220.01 is: 329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.54 : 589.61 = 220.01 : x
  2. Step 2: Convert to fraction form
    393.54/589.61 = 220.01/x
  3. Step 3: Cross multiply
    393.54x = 589.61 × 220.01
  4. Step 4: Simplify right side
    393.54x = 129,716.05
  5. Step 5: Solve for x
    x = 129,716.05/393.54
  6. Step 6: Final answer
    x = 329.61

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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.