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Finding the Fourth Proportional to 272.17, 408.19 and 109.81

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Solution

The fourth proportional to 272.17, 408.19 and 109.81 is: 164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.17 : 408.19 = 109.81 : x
  2. Step 2: Convert to fraction form
    272.17/408.19 = 109.81/x
  3. Step 3: Cross multiply
    272.17x = 408.19 × 109.81
  4. Step 4: Simplify right side
    272.17x = 44,823.34
  5. Step 5: Solve for x
    x = 44,823.34/272.17
  6. Step 6: Final answer
    x = 164.69

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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.