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Finding the Fourth Proportional to 299.33, 450.36 and 177.67

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Solution

The fourth proportional to 299.33, 450.36 and 177.67 is: 267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.33 : 450.36 = 177.67 : x
  2. Step 2: Convert to fraction form
    299.33/450.36 = 177.67/x
  3. Step 3: Cross multiply
    299.33x = 450.36 × 177.67
  4. Step 4: Simplify right side
    299.33x = 80,014.57
  5. Step 5: Solve for x
    x = 80,014.57/299.33
  6. Step 6: Final answer
    x = 267.32

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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.