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Finding the Fourth Proportional to 393.26, 589.66 and 220.10

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Solution

The fourth proportional to 393.26, 589.66 and 220.10 is: 330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.26 : 589.66 = 220.10 : x
  2. Step 2: Convert to fraction form
    393.26/589.66 = 220.10/x
  3. Step 3: Cross multiply
    393.26x = 589.66 × 220.10
  4. Step 4: Simplify right side
    393.26x = 129,784.17
  5. Step 5: Solve for x
    x = 129,784.17/393.26
  6. Step 6: Final answer
    x = 330.02

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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.