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Finding the Fourth Proportional to 173.22, 238.95 and 117.97

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Solution

The fourth proportional to 173.22, 238.95 and 117.97 is: 162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.22 : 238.95 = 117.97 : x
  2. Step 2: Convert to fraction form
    173.22/238.95 = 117.97/x
  3. Step 3: Cross multiply
    173.22x = 238.95 × 117.97
  4. Step 4: Simplify right side
    173.22x = 28,188.93
  5. Step 5: Solve for x
    x = 28,188.93/173.22
  6. Step 6: Final answer
    x = 162.73

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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.