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Finding the Fourth Proportional to 182.90, 272.95 and 161.23

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Solution

The fourth proportional to 182.90, 272.95 and 161.23 is: 240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.90 : 272.95 = 161.23 : x
  2. Step 2: Convert to fraction form
    182.90/272.95 = 161.23/x
  3. Step 3: Cross multiply
    182.90x = 272.95 × 161.23
  4. Step 4: Simplify right side
    182.90x = 44,007.73
  5. Step 5: Solve for x
    x = 44,007.73/182.90
  6. Step 6: Final answer
    x = 240.62

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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.