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Finding the Fourth Proportional to 319.44, 440.85 and 186.69

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Solution

The fourth proportional to 319.44, 440.85 and 186.69 is: 257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.44 : 440.85 = 186.69 : x
  2. Step 2: Convert to fraction form
    319.44/440.85 = 186.69/x
  3. Step 3: Cross multiply
    319.44x = 440.85 × 186.69
  4. Step 4: Simplify right side
    319.44x = 82,302.29
  5. Step 5: Solve for x
    x = 82,302.29/319.44
  6. Step 6: Final answer
    x = 257.65

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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.