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Finding the Fourth Proportional to 318.27, 439.21 and 178.38

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Solution

The fourth proportional to 318.27, 439.21 and 178.38 is: 246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.27 : 439.21 = 178.38 : x
  2. Step 2: Convert to fraction form
    318.27/439.21 = 178.38/x
  3. Step 3: Cross multiply
    318.27x = 439.21 × 178.38
  4. Step 4: Simplify right side
    318.27x = 78,343.19
  5. Step 5: Solve for x
    x = 78,343.19/318.27
  6. Step 6: Final answer
    x = 246.16

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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.