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Finding the Fourth Proportional to 183.08, 274.38 and 178.29

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Solution

The fourth proportional to 183.08, 274.38 and 178.29 is: 267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.08 : 274.38 = 178.29 : x
  2. Step 2: Convert to fraction form
    183.08/274.38 = 178.29/x
  3. Step 3: Cross multiply
    183.08x = 274.38 × 178.29
  4. Step 4: Simplify right side
    183.08x = 48,919.21
  5. Step 5: Solve for x
    x = 48,919.21/183.08
  6. Step 6: Final answer
    x = 267.21

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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.