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Finding the Fourth Proportional to 227.21, 342.54 and 211.55

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Solution

The fourth proportional to 227.21, 342.54 and 211.55 is: 318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.21 : 342.54 = 211.55 : x
  2. Step 2: Convert to fraction form
    227.21/342.54 = 211.55/x
  3. Step 3: Cross multiply
    227.21x = 342.54 × 211.55
  4. Step 4: Simplify right side
    227.21x = 72,462.62
  5. Step 5: Solve for x
    x = 72,462.62/227.21
  6. Step 6: Final answer
    x = 318.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.