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Finding the Fourth Proportional to 310.31, 427.78 and 192.21

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Solution

The fourth proportional to 310.31, 427.78 and 192.21 is: 264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.31 : 427.78 = 192.21 : x
  2. Step 2: Convert to fraction form
    310.31/427.78 = 192.21/x
  3. Step 3: Cross multiply
    310.31x = 427.78 × 192.21
  4. Step 4: Simplify right side
    310.31x = 82,223.59
  5. Step 5: Solve for x
    x = 82,223.59/310.31
  6. Step 6: Final answer
    x = 264.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.