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Finding the Fourth Proportional to 211.41, 315.24 and 196.80

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Solution

The fourth proportional to 211.41, 315.24 and 196.80 is: 293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.41 : 315.24 = 196.80 : x
  2. Step 2: Convert to fraction form
    211.41/315.24 = 196.80/x
  3. Step 3: Cross multiply
    211.41x = 315.24 × 196.80
  4. Step 4: Simplify right side
    211.41x = 62,039.23
  5. Step 5: Solve for x
    x = 62,039.23/211.41
  6. Step 6: Final answer
    x = 293.45

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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.