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Finding the Fourth Proportional to 300.15, 449.76 and 178.28

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Solution

The fourth proportional to 300.15, 449.76 and 178.28 is: 267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.15 : 449.76 = 178.28 : x
  2. Step 2: Convert to fraction form
    300.15/449.76 = 178.28/x
  3. Step 3: Cross multiply
    300.15x = 449.76 × 178.28
  4. Step 4: Simplify right side
    300.15x = 80,180.96
  5. Step 5: Solve for x
    x = 80,180.96/300.15
  6. Step 6: Final answer
    x = 267.14

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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.