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Finding the Fourth Proportional to 393.07, 589.14 and 219.64

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Solution

The fourth proportional to 393.07, 589.14 and 219.64 is: 329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.07 : 589.14 = 219.64 : x
  2. Step 2: Convert to fraction form
    393.07/589.14 = 219.64/x
  3. Step 3: Cross multiply
    393.07x = 589.14 × 219.64
  4. Step 4: Simplify right side
    393.07x = 129,398.71
  5. Step 5: Solve for x
    x = 129,398.71/393.07
  6. Step 6: Final answer
    x = 329.20

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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.