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Finding the Fourth Proportional to 274.24, 411.72 and 166.24

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Solution

The fourth proportional to 274.24, 411.72 and 166.24 is: 249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 411.72 = 166.24 : x
  2. Step 2: Convert to fraction form
    274.24/411.72 = 166.24/x
  3. Step 3: Cross multiply
    274.24x = 411.72 × 166.24
  4. Step 4: Simplify right side
    274.24x = 68,444.33
  5. Step 5: Solve for x
    x = 68,444.33/274.24
  6. Step 6: Final answer
    x = 249.58

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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.