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Finding the Fourth Proportional to 272.82, 376.38 and 162.24

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Solution

The fourth proportional to 272.82, 376.38 and 162.24 is: 223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.82 : 376.38 = 162.24 : x
  2. Step 2: Convert to fraction form
    272.82/376.38 = 162.24/x
  3. Step 3: Cross multiply
    272.82x = 376.38 × 162.24
  4. Step 4: Simplify right side
    272.82x = 61,063.89
  5. Step 5: Solve for x
    x = 61,063.89/272.82
  6. Step 6: Final answer
    x = 223.82

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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.