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Finding the Fourth Proportional to 272.24, 375.76 and 161.76

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Solution

The fourth proportional to 272.24, 375.76 and 161.76 is: 223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.24 : 375.76 = 161.76 : x
  2. Step 2: Convert to fraction form
    272.24/375.76 = 161.76/x
  3. Step 3: Cross multiply
    272.24x = 375.76 × 161.76
  4. Step 4: Simplify right side
    272.24x = 60,782.94
  5. Step 5: Solve for x
    x = 60,782.94/272.24
  6. Step 6: Final answer
    x = 223.27

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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.