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Finding the Fourth Proportional to 300.24, 449.78 and 178.13

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Solution

The fourth proportional to 300.24, 449.78 and 178.13 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 449.78 = 178.13 : x
  2. Step 2: Convert to fraction form
    300.24/449.78 = 178.13/x
  3. Step 3: Cross multiply
    300.24x = 449.78 × 178.13
  4. Step 4: Simplify right side
    300.24x = 80,119.31
  5. Step 5: Solve for x
    x = 80,119.31/300.24
  6. Step 6: Final answer
    x = 266.85

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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.