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Finding the Fourth Proportional to 212.11, 318.17 and 83.86

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Solution

The fourth proportional to 212.11, 318.17 and 83.86 is: 125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.11 : 318.17 = 83.86 : x
  2. Step 2: Convert to fraction form
    212.11/318.17 = 83.86/x
  3. Step 3: Cross multiply
    212.11x = 318.17 × 83.86
  4. Step 4: Simplify right side
    212.11x = 26,681.15
  5. Step 5: Solve for x
    x = 26,681.15/212.11
  6. Step 6: Final answer
    x = 125.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.