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Finding the Fourth Proportional to 385.28, 575.44 and 299.84

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Solution

The fourth proportional to 385.28, 575.44 and 299.84 is: 447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.28 : 575.44 = 299.84 : x
  2. Step 2: Convert to fraction form
    385.28/575.44 = 299.84/x
  3. Step 3: Cross multiply
    385.28x = 575.44 × 299.84
  4. Step 4: Simplify right side
    385.28x = 172,539.93
  5. Step 5: Solve for x
    x = 172,539.93/385.28
  6. Step 6: Final answer
    x = 447.83

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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.