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Finding the Fourth Proportional to 173.24, 238.82 and 120.70

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Solution

The fourth proportional to 173.24, 238.82 and 120.70 is: 166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.24 : 238.82 = 120.70 : x
  2. Step 2: Convert to fraction form
    173.24/238.82 = 120.70/x
  3. Step 3: Cross multiply
    173.24x = 238.82 × 120.70
  4. Step 4: Simplify right side
    173.24x = 28,824.38
  5. Step 5: Solve for x
    x = 28,824.38/173.24
  6. Step 6: Final answer
    x = 166.39

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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.