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Finding the Fourth Proportional to 238.74, 329.52 and 186.27

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Solution

The fourth proportional to 238.74, 329.52 and 186.27 is: 257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.74 : 329.52 = 186.27 : x
  2. Step 2: Convert to fraction form
    238.74/329.52 = 186.27/x
  3. Step 3: Cross multiply
    238.74x = 329.52 × 186.27
  4. Step 4: Simplify right side
    238.74x = 61,379.69
  5. Step 5: Solve for x
    x = 61,379.69/238.74
  6. Step 6: Final answer
    x = 257.10

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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.