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Finding the Fourth Proportional to 299.60, 447.26 and 286.30

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Solution

The fourth proportional to 299.60, 447.26 and 286.30 is: 427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 447.26 = 286.30 : x
  2. Step 2: Convert to fraction form
    299.60/447.26 = 286.30/x
  3. Step 3: Cross multiply
    299.60x = 447.26 × 286.30
  4. Step 4: Simplify right side
    299.60x = 128,049.67
  5. Step 5: Solve for x
    x = 128,049.67/299.60
  6. Step 6: Final answer
    x = 427.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.