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Finding the Fourth Proportional to 272.55, 376.09 and 162.05

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Solution

The fourth proportional to 272.55, 376.09 and 162.05 is: 223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.55 : 376.09 = 162.05 : x
  2. Step 2: Convert to fraction form
    272.55/376.09 = 162.05/x
  3. Step 3: Cross multiply
    272.55x = 376.09 × 162.05
  4. Step 4: Simplify right side
    272.55x = 60,944.51
  5. Step 5: Solve for x
    x = 60,944.51/272.55
  6. Step 6: Final answer
    x = 223.61

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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.