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Finding the Fourth Proportional to 211.55, 315.50 and 182.79

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Solution

The fourth proportional to 211.55, 315.50 and 182.79 is: 272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.55 : 315.50 = 182.79 : x
  2. Step 2: Convert to fraction form
    211.55/315.50 = 182.79/x
  3. Step 3: Cross multiply
    211.55x = 315.50 × 182.79
  4. Step 4: Simplify right side
    211.55x = 57,669.33
  5. Step 5: Solve for x
    x = 57,669.33/211.55
  6. Step 6: Final answer
    x = 272.61

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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.