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Finding the Fourth Proportional to 211.46, 315.35 and 193.73

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Solution

The fourth proportional to 211.46, 315.35 and 193.73 is: 288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.46 : 315.35 = 193.73 : x
  2. Step 2: Convert to fraction form
    211.46/315.35 = 193.73/x
  3. Step 3: Cross multiply
    211.46x = 315.35 × 193.73
  4. Step 4: Simplify right side
    211.46x = 61,092.58
  5. Step 5: Solve for x
    x = 61,092.58/211.46
  6. Step 6: Final answer
    x = 288.92

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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.