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Finding the Fourth Proportional to 299.85, 415.68 and 283.43

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Solution

The fourth proportional to 299.85, 415.68 and 283.43 is: 392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.85 : 415.68 = 283.43 : x
  2. Step 2: Convert to fraction form
    299.85/415.68 = 283.43/x
  3. Step 3: Cross multiply
    299.85x = 415.68 × 283.43
  4. Step 4: Simplify right side
    299.85x = 117,814.10
  5. Step 5: Solve for x
    x = 117,814.10/299.85
  6. Step 6: Final answer
    x = 392.91

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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.