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Finding the Fourth Proportional to 299.61, 414.07 and 225.90

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Solution

The fourth proportional to 299.61, 414.07 and 225.90 is: 312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.61 : 414.07 = 225.90 : x
  2. Step 2: Convert to fraction form
    299.61/414.07 = 225.90/x
  3. Step 3: Cross multiply
    299.61x = 414.07 × 225.90
  4. Step 4: Simplify right side
    299.61x = 93,537.85
  5. Step 5: Solve for x
    x = 93,537.85/299.61
  6. Step 6: Final answer
    x = 312.20

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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.