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Finding the Fourth Proportional to 299.35, 410.52 and 286.88

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Solution

The fourth proportional to 299.35, 410.52 and 286.88 is: 393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.35 : 410.52 = 286.88 : x
  2. Step 2: Convert to fraction form
    299.35/410.52 = 286.88/x
  3. Step 3: Cross multiply
    299.35x = 410.52 × 286.88
  4. Step 4: Simplify right side
    299.35x = 117,768.64
  5. Step 5: Solve for x
    x = 117,768.64/299.35
  6. Step 6: Final answer
    x = 393.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.