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Finding the Fourth Proportional to 274.24, 411.90 and 178.12

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Solution

The fourth proportional to 274.24, 411.90 and 178.12 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 411.90 = 178.12 : x
  2. Step 2: Convert to fraction form
    274.24/411.90 = 178.12/x
  3. Step 3: Cross multiply
    274.24x = 411.90 × 178.12
  4. Step 4: Simplify right side
    274.24x = 73,367.63
  5. Step 5: Solve for x
    x = 73,367.63/274.24
  6. Step 6: Final answer
    x = 267.53

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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.