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Finding the Fourth Proportional to 299.30, 412.90 and 224.78

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Solution

The fourth proportional to 299.30, 412.90 and 224.78 is: 310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.30 : 412.90 = 224.78 : x
  2. Step 2: Convert to fraction form
    299.30/412.90 = 224.78/x
  3. Step 3: Cross multiply
    299.30x = 412.90 × 224.78
  4. Step 4: Simplify right side
    299.30x = 92,809.04
  5. Step 5: Solve for x
    x = 92,809.04/299.30
  6. Step 6: Final answer
    x = 310.09

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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.