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Finding the Fourth Proportional to 272.12, 375.53 and 161.69

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Solution

The fourth proportional to 272.12, 375.53 and 161.69 is: 223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.12 : 375.53 = 161.69 : x
  2. Step 2: Convert to fraction form
    272.12/375.53 = 161.69/x
  3. Step 3: Cross multiply
    272.12x = 375.53 × 161.69
  4. Step 4: Simplify right side
    272.12x = 60,716.76
  5. Step 5: Solve for x
    x = 60,716.76/272.12
  6. Step 6: Final answer
    x = 223.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.