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Finding the Fourth Proportional to 310.71, 427.84 and 269.27

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Solution

The fourth proportional to 310.71, 427.84 and 269.27 is: 370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.71 : 427.84 = 269.27 : x
  2. Step 2: Convert to fraction form
    310.71/427.84 = 269.27/x
  3. Step 3: Cross multiply
    310.71x = 427.84 × 269.27
  4. Step 4: Simplify right side
    310.71x = 115,201.66
  5. Step 5: Solve for x
    x = 115,201.66/310.71
  6. Step 6: Final answer
    x = 370.77

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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.