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Finding the Fourth Proportional to 211.46, 315.63 and 196.44

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Solution

The fourth proportional to 211.46, 315.63 and 196.44 is: 293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.46 : 315.63 = 196.44 : x
  2. Step 2: Convert to fraction form
    211.46/315.63 = 196.44/x
  3. Step 3: Cross multiply
    211.46x = 315.63 × 196.44
  4. Step 4: Simplify right side
    211.46x = 62,001.38
  5. Step 5: Solve for x
    x = 62,001.38/211.46
  6. Step 6: Final answer
    x = 293.21

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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.