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Finding the Fourth Proportional to 299.45, 415.17 and 283.05

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Solution

The fourth proportional to 299.45, 415.17 and 283.05 is: 392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.45 : 415.17 = 283.05 : x
  2. Step 2: Convert to fraction form
    299.45/415.17 = 283.05/x
  3. Step 3: Cross multiply
    299.45x = 415.17 × 283.05
  4. Step 4: Simplify right side
    299.45x = 117,513.87
  5. Step 5: Solve for x
    x = 117,513.87/299.45
  6. Step 6: Final answer
    x = 392.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.