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Finding the Fourth Proportional to 480.30, 720.42 and 274.22

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Solution

The fourth proportional to 480.30, 720.42 and 274.22 is: 411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.30 : 720.42 = 274.22 : x
  2. Step 2: Convert to fraction form
    480.30/720.42 = 274.22/x
  3. Step 3: Cross multiply
    480.30x = 720.42 × 274.22
  4. Step 4: Simplify right side
    480.30x = 197,553.57
  5. Step 5: Solve for x
    x = 197,553.57/480.30
  6. Step 6: Final answer
    x = 411.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.