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Finding the Fourth Proportional to 319.59, 441.08 and 186.85

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Solution

The fourth proportional to 319.59, 441.08 and 186.85 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.59 : 441.08 = 186.85 : x
  2. Step 2: Convert to fraction form
    319.59/441.08 = 186.85/x
  3. Step 3: Cross multiply
    319.59x = 441.08 × 186.85
  4. Step 4: Simplify right side
    319.59x = 82,415.33
  5. Step 5: Solve for x
    x = 82,415.33/319.59
  6. Step 6: Final answer
    x = 257.88

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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.