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Finding the Fourth Proportional to 480.28, 663.84 and 350.20

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Solution

The fourth proportional to 480.28, 663.84 and 350.20 is: 484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.28 : 663.84 = 350.20 : x
  2. Step 2: Convert to fraction form
    480.28/663.84 = 350.20/x
  3. Step 3: Cross multiply
    480.28x = 663.84 × 350.20
  4. Step 4: Simplify right side
    480.28x = 232,476.77
  5. Step 5: Solve for x
    x = 232,476.77/480.28
  6. Step 6: Final answer
    x = 484.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.