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Finding the Fourth Proportional to 211.44, 315.38 and 192

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Solution

The fourth proportional to 211.44, 315.38 and 192 is: 286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.44 : 315.38 = 192 : x
  2. Step 2: Convert to fraction form
    211.44/315.38 = 192/x
  3. Step 3: Cross multiply
    211.44x = 315.38 × 192
  4. Step 4: Simplify right side
    211.44x = 60,552.96
  5. Step 5: Solve for x
    x = 60,552.96/211.44
  6. Step 6: Final answer
    x = 286.38

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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.