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Finding the Fourth Proportional to 482.20, 724.11 and 262.70

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Solution

The fourth proportional to 482.20, 724.11 and 262.70 is: 394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.20 : 724.11 = 262.70 : x
  2. Step 2: Convert to fraction form
    482.20/724.11 = 262.70/x
  3. Step 3: Cross multiply
    482.20x = 724.11 × 262.70
  4. Step 4: Simplify right side
    482.20x = 190,223.70
  5. Step 5: Solve for x
    x = 190,223.70/482.20
  6. Step 6: Final answer
    x = 394.49

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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.