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Finding the Fourth Proportional to 211.65, 291.69 and 205.73

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Solution

The fourth proportional to 211.65, 291.69 and 205.73 is: 283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.65 : 291.69 = 205.73 : x
  2. Step 2: Convert to fraction form
    211.65/291.69 = 205.73/x
  3. Step 3: Cross multiply
    211.65x = 291.69 × 205.73
  4. Step 4: Simplify right side
    211.65x = 60,007.93
  5. Step 5: Solve for x
    x = 60,007.93/211.65
  6. Step 6: Final answer
    x = 283.52

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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.