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Finding the Fourth Proportional to 238.37, 357.15 and 186.80

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Solution

The fourth proportional to 238.37, 357.15 and 186.80 is: 279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.37 : 357.15 = 186.80 : x
  2. Step 2: Convert to fraction form
    238.37/357.15 = 186.80/x
  3. Step 3: Cross multiply
    238.37x = 357.15 × 186.80
  4. Step 4: Simplify right side
    238.37x = 66,715.62
  5. Step 5: Solve for x
    x = 66,715.62/238.37
  6. Step 6: Final answer
    x = 279.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.