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Finding the Fourth Proportional to 182.10, 271.92 and 171.21

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Solution

The fourth proportional to 182.10, 271.92 and 171.21 is: 255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.10 : 271.92 = 171.21 : x
  2. Step 2: Convert to fraction form
    182.10/271.92 = 171.21/x
  3. Step 3: Cross multiply
    182.10x = 271.92 × 171.21
  4. Step 4: Simplify right side
    182.10x = 46,555.42
  5. Step 5: Solve for x
    x = 46,555.42/182.10
  6. Step 6: Final answer
    x = 255.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.