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Finding the Fourth Proportional to 227.94, 342 and 81.78

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Solution

The fourth proportional to 227.94, 342 and 81.78 is: 122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.94 : 342 = 81.78 : x
  2. Step 2: Convert to fraction form
    227.94/342 = 81.78/x
  3. Step 3: Cross multiply
    227.94x = 342 × 81.78
  4. Step 4: Simplify right side
    227.94x = 27,968.76
  5. Step 5: Solve for x
    x = 27,968.76/227.94
  6. Step 6: Final answer
    x = 122.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.