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Finding the Fourth Proportional to 227.58, 339.72 and 211.08

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Solution

The fourth proportional to 227.58, 339.72 and 211.08 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.58 : 339.72 = 211.08 : x
  2. Step 2: Convert to fraction form
    227.58/339.72 = 211.08/x
  3. Step 3: Cross multiply
    227.58x = 339.72 × 211.08
  4. Step 4: Simplify right side
    227.58x = 71,708.10
  5. Step 5: Solve for x
    x = 71,708.10/227.58
  6. Step 6: Final answer
    x = 315.09

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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.