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Finding the Fourth Proportional to 272.53, 376.13 and 162.03

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Solution

The fourth proportional to 272.53, 376.13 and 162.03 is: 223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.53 : 376.13 = 162.03 : x
  2. Step 2: Convert to fraction form
    272.53/376.13 = 162.03/x
  3. Step 3: Cross multiply
    272.53x = 376.13 × 162.03
  4. Step 4: Simplify right side
    272.53x = 60,944.34
  5. Step 5: Solve for x
    x = 60,944.34/272.53
  6. Step 6: Final answer
    x = 223.62

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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.