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Finding the Fourth Proportional to 211.66, 318.06 and 199.78

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Solution

The fourth proportional to 211.66, 318.06 and 199.78 is: 300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.66 : 318.06 = 199.78 : x
  2. Step 2: Convert to fraction form
    211.66/318.06 = 199.78/x
  3. Step 3: Cross multiply
    211.66x = 318.06 × 199.78
  4. Step 4: Simplify right side
    211.66x = 63,542.03
  5. Step 5: Solve for x
    x = 63,542.03/211.66
  6. Step 6: Final answer
    x = 300.21

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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.