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Finding the Fourth Proportional to 299.16, 449.28 and 286.20

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Solution

The fourth proportional to 299.16, 449.28 and 286.20 is: 429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.16 : 449.28 = 286.20 : x
  2. Step 2: Convert to fraction form
    299.16/449.28 = 286.20/x
  3. Step 3: Cross multiply
    299.16x = 449.28 × 286.20
  4. Step 4: Simplify right side
    299.16x = 128,583.94
  5. Step 5: Solve for x
    x = 128,583.94/299.16
  6. Step 6: Final answer
    x = 429.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.