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Finding the Fourth Proportional to 238.75, 359.97 and 191.23

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Solution

The fourth proportional to 238.75, 359.97 and 191.23 is: 288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.75 : 359.97 = 191.23 : x
  2. Step 2: Convert to fraction form
    238.75/359.97 = 191.23/x
  3. Step 3: Cross multiply
    238.75x = 359.97 × 191.23
  4. Step 4: Simplify right side
    238.75x = 68,837.06
  5. Step 5: Solve for x
    x = 68,837.06/238.75
  6. Step 6: Final answer
    x = 288.32

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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.