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Finding the Fourth Proportional to 318.27, 438.78 and 311.37

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Solution

The fourth proportional to 318.27, 438.78 and 311.37 is: 429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.27 : 438.78 = 311.37 : x
  2. Step 2: Convert to fraction form
    318.27/438.78 = 311.37/x
  3. Step 3: Cross multiply
    318.27x = 438.78 × 311.37
  4. Step 4: Simplify right side
    318.27x = 136,622.93
  5. Step 5: Solve for x
    x = 136,622.93/318.27
  6. Step 6: Final answer
    x = 429.27

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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.