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Finding the Fourth Proportional to 300.56, 450.24 and 178.64

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Solution

The fourth proportional to 300.56, 450.24 and 178.64 is: 267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 450.24 = 178.64 : x
  2. Step 2: Convert to fraction form
    300.56/450.24 = 178.64/x
  3. Step 3: Cross multiply
    300.56x = 450.24 × 178.64
  4. Step 4: Simplify right side
    300.56x = 80,430.87
  5. Step 5: Solve for x
    x = 80,430.87/300.56
  6. Step 6: Final answer
    x = 267.60

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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.