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Finding the Fourth Proportional to 211.98, 319.81 and 199.02

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Solution

The fourth proportional to 211.98, 319.81 and 199.02 is: 300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.98 : 319.81 = 199.02 : x
  2. Step 2: Convert to fraction form
    211.98/319.81 = 199.02/x
  3. Step 3: Cross multiply
    211.98x = 319.81 × 199.02
  4. Step 4: Simplify right side
    211.98x = 63,648.59
  5. Step 5: Solve for x
    x = 63,648.59/211.98
  6. Step 6: Final answer
    x = 300.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.