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Finding the Fourth Proportional to 173.27, 238.94 and 117.25

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Solution

The fourth proportional to 173.27, 238.94 and 117.25 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.27 : 238.94 = 117.25 : x
  2. Step 2: Convert to fraction form
    173.27/238.94 = 117.25/x
  3. Step 3: Cross multiply
    173.27x = 238.94 × 117.25
  4. Step 4: Simplify right side
    173.27x = 28,013.93
  5. Step 5: Solve for x
    x = 28,013.93/173.27
  6. Step 6: Final answer
    x = 161.68

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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.