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Finding the Fourth Proportional to 299.44, 450 and 177.72

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Solution

The fourth proportional to 299.44, 450 and 177.72 is: 267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.44 : 450 = 177.72 : x
  2. Step 2: Convert to fraction form
    299.44/450 = 177.72/x
  3. Step 3: Cross multiply
    299.44x = 450 × 177.72
  4. Step 4: Simplify right side
    299.44x = 79,974
  5. Step 5: Solve for x
    x = 79,974/299.44
  6. Step 6: Final answer
    x = 267.08

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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.