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Finding the Fourth Proportional to 318.28, 438.78 and 268.96

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Solution

The fourth proportional to 318.28, 438.78 and 268.96 is: 370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.28 : 438.78 = 268.96 : x
  2. Step 2: Convert to fraction form
    318.28/438.78 = 268.96/x
  3. Step 3: Cross multiply
    318.28x = 438.78 × 268.96
  4. Step 4: Simplify right side
    318.28x = 118,014.27
  5. Step 5: Solve for x
    x = 118,014.27/318.28
  6. Step 6: Final answer
    x = 370.79

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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.