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Finding the Fourth Proportional to 274.53, 411.31 and 164.77

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Solution

The fourth proportional to 274.53, 411.31 and 164.77 is: 246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.53 : 411.31 = 164.77 : x
  2. Step 2: Convert to fraction form
    274.53/411.31 = 164.77/x
  3. Step 3: Cross multiply
    274.53x = 411.31 × 164.77
  4. Step 4: Simplify right side
    274.53x = 67,771.55
  5. Step 5: Solve for x
    x = 67,771.55/274.53
  6. Step 6: Final answer
    x = 246.86

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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.