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Finding the Fourth Proportional to 238.97, 330.21 and 186.65

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Solution

The fourth proportional to 238.97, 330.21 and 186.65 is: 257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.97 : 330.21 = 186.65 : x
  2. Step 2: Convert to fraction form
    238.97/330.21 = 186.65/x
  3. Step 3: Cross multiply
    238.97x = 330.21 × 186.65
  4. Step 4: Simplify right side
    238.97x = 61,633.28
  5. Step 5: Solve for x
    x = 61,633.28/238.97
  6. Step 6: Final answer
    x = 257.91

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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.