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Finding the Fourth Proportional to 182.21, 272.63 and 109.13

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Solution

The fourth proportional to 182.21, 272.63 and 109.13 is: 163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.21 : 272.63 = 109.13 : x
  2. Step 2: Convert to fraction form
    182.21/272.63 = 109.13/x
  3. Step 3: Cross multiply
    182.21x = 272.63 × 109.13
  4. Step 4: Simplify right side
    182.21x = 29,751.02
  5. Step 5: Solve for x
    x = 29,751.02/182.21
  6. Step 6: Final answer
    x = 163.28

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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.