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Finding the Fourth Proportional to 173.25, 238.91 and 126.65

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Solution

The fourth proportional to 173.25, 238.91 and 126.65 is: 174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.25 : 238.91 = 126.65 : x
  2. Step 2: Convert to fraction form
    173.25/238.91 = 126.65/x
  3. Step 3: Cross multiply
    173.25x = 238.91 × 126.65
  4. Step 4: Simplify right side
    173.25x = 30,256.12
  5. Step 5: Solve for x
    x = 30,256.12/173.25
  6. Step 6: Final answer
    x = 174.64

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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.