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Finding the Fourth Proportional to 300.59, 450.89 and 178.05

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Solution

The fourth proportional to 300.59, 450.89 and 178.05 is: 267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.59 : 450.89 = 178.05 : x
  2. Step 2: Convert to fraction form
    300.59/450.89 = 178.05/x
  3. Step 3: Cross multiply
    300.59x = 450.89 × 178.05
  4. Step 4: Simplify right side
    300.59x = 80,278.38
  5. Step 5: Solve for x
    x = 80,278.38/300.59
  6. Step 6: Final answer
    x = 267.07

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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.