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Finding the Fourth Proportional to 318.11, 438.59 and 218.42

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Solution

The fourth proportional to 318.11, 438.59 and 218.42 is: 301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.11 : 438.59 = 218.42 : x
  2. Step 2: Convert to fraction form
    318.11/438.59 = 218.42/x
  3. Step 3: Cross multiply
    318.11x = 438.59 × 218.42
  4. Step 4: Simplify right side
    318.11x = 95,793.54
  5. Step 5: Solve for x
    x = 95,793.54/318.11
  6. Step 6: Final answer
    x = 301.14

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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.