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Finding the Fourth Proportional to 182.90, 272.81 and 163.46

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Solution

The fourth proportional to 182.90, 272.81 and 163.46 is: 243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.90 : 272.81 = 163.46 : x
  2. Step 2: Convert to fraction form
    182.90/272.81 = 163.46/x
  3. Step 3: Cross multiply
    182.90x = 272.81 × 163.46
  4. Step 4: Simplify right side
    182.90x = 44,592.16
  5. Step 5: Solve for x
    x = 44,592.16/182.90
  6. Step 6: Final answer
    x = 243.81

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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.