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Finding the Fourth Proportional to 272.02, 375.26 and 161.43

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Solution

The fourth proportional to 272.02, 375.26 and 161.43 is: 222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.02 : 375.26 = 161.43 : x
  2. Step 2: Convert to fraction form
    272.02/375.26 = 161.43/x
  3. Step 3: Cross multiply
    272.02x = 375.26 × 161.43
  4. Step 4: Simplify right side
    272.02x = 60,580.23
  5. Step 5: Solve for x
    x = 60,580.23/272.02
  6. Step 6: Final answer
    x = 222.70

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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.