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Finding the Fourth Proportional to 299.24, 412.74 and 225.32

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Solution

The fourth proportional to 299.24, 412.74 and 225.32 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 412.74 = 225.32 : x
  2. Step 2: Convert to fraction form
    299.24/412.74 = 225.32/x
  3. Step 3: Cross multiply
    299.24x = 412.74 × 225.32
  4. Step 4: Simplify right side
    299.24x = 92,998.58
  5. Step 5: Solve for x
    x = 92,998.58/299.24
  6. Step 6: Final answer
    x = 310.78

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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.