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Finding the Fourth Proportional to 299.20, 446.17 and 275.56

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Solution

The fourth proportional to 299.20, 446.17 and 275.56 is: 410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.20 : 446.17 = 275.56 : x
  2. Step 2: Convert to fraction form
    299.20/446.17 = 275.56/x
  3. Step 3: Cross multiply
    299.20x = 446.17 × 275.56
  4. Step 4: Simplify right side
    299.20x = 122,946.61
  5. Step 5: Solve for x
    x = 122,946.61/299.20
  6. Step 6: Final answer
    x = 410.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.