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Finding the Fourth Proportional to 238.50, 359.51 and 218.75

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Solution

The fourth proportional to 238.50, 359.51 and 218.75 is: 329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.50 : 359.51 = 218.75 : x
  2. Step 2: Convert to fraction form
    238.50/359.51 = 218.75/x
  3. Step 3: Cross multiply
    238.50x = 359.51 × 218.75
  4. Step 4: Simplify right side
    238.50x = 78,641.72
  5. Step 5: Solve for x
    x = 78,641.72/238.50
  6. Step 6: Final answer
    x = 329.73

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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.