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Finding the Fourth Proportional to 211.92, 317.87 and 109.14

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Solution

The fourth proportional to 211.92, 317.87 and 109.14 is: 163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.92 : 317.87 = 109.14 : x
  2. Step 2: Convert to fraction form
    211.92/317.87 = 109.14/x
  3. Step 3: Cross multiply
    211.92x = 317.87 × 109.14
  4. Step 4: Simplify right side
    211.92x = 34,691.79
  5. Step 5: Solve for x
    x = 34,691.79/211.92
  6. Step 6: Final answer
    x = 163.70

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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.