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Finding the Fourth Proportional to 480.20, 720.28 and 274.25

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Solution

The fourth proportional to 480.20, 720.28 and 274.25 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.20 : 720.28 = 274.25 : x
  2. Step 2: Convert to fraction form
    480.20/720.28 = 274.25/x
  3. Step 3: Cross multiply
    480.20x = 720.28 × 274.25
  4. Step 4: Simplify right side
    480.20x = 197,536.79
  5. Step 5: Solve for x
    x = 197,536.79/480.20
  6. Step 6: Final answer
    x = 411.36

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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.