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Finding the Fourth Proportional to 211.52, 315.38 and 193.44

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Solution

The fourth proportional to 211.52, 315.38 and 193.44 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.52 : 315.38 = 193.44 : x
  2. Step 2: Convert to fraction form
    211.52/315.38 = 193.44/x
  3. Step 3: Cross multiply
    211.52x = 315.38 × 193.44
  4. Step 4: Simplify right side
    211.52x = 61,007.11
  5. Step 5: Solve for x
    x = 61,007.11/211.52
  6. Step 6: Final answer
    x = 288.42

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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.