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Finding the Fourth Proportional to 211.62, 315.74 and 205.14

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Solution

The fourth proportional to 211.62, 315.74 and 205.14 is: 306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.62 : 315.74 = 205.14 : x
  2. Step 2: Convert to fraction form
    211.62/315.74 = 205.14/x
  3. Step 3: Cross multiply
    211.62x = 315.74 × 205.14
  4. Step 4: Simplify right side
    211.62x = 64,769.88
  5. Step 5: Solve for x
    x = 64,769.88/211.62
  6. Step 6: Final answer
    x = 306.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.