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Finding the Fourth Proportional to 319.27, 440.68 and 186.61

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Solution

The fourth proportional to 319.27, 440.68 and 186.61 is: 257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.27 : 440.68 = 186.61 : x
  2. Step 2: Convert to fraction form
    319.27/440.68 = 186.61/x
  3. Step 3: Cross multiply
    319.27x = 440.68 × 186.61
  4. Step 4: Simplify right side
    319.27x = 82,233.09
  5. Step 5: Solve for x
    x = 82,233.09/319.27
  6. Step 6: Final answer
    x = 257.57

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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.