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Finding the Fourth Proportional to 427.09, 588.92 and 371.34

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Solution

The fourth proportional to 427.09, 588.92 and 371.34 is: 512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.09 : 588.92 = 371.34 : x
  2. Step 2: Convert to fraction form
    427.09/588.92 = 371.34/x
  3. Step 3: Cross multiply
    427.09x = 588.92 × 371.34
  4. Step 4: Simplify right side
    427.09x = 218,689.55
  5. Step 5: Solve for x
    x = 218,689.55/427.09
  6. Step 6: Final answer
    x = 512.05

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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.