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Finding the Fourth Proportional to 173.27, 261.21 and 161.82

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Solution

The fourth proportional to 173.27, 261.21 and 161.82 is: 243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.27 : 261.21 = 161.82 : x
  2. Step 2: Convert to fraction form
    173.27/261.21 = 161.82/x
  3. Step 3: Cross multiply
    173.27x = 261.21 × 161.82
  4. Step 4: Simplify right side
    173.27x = 42,269.00
  5. Step 5: Solve for x
    x = 42,269.00/173.27
  6. Step 6: Final answer
    x = 243.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.