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Finding the Fourth Proportional to 371.33, 512.44 and 214.03

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Solution

The fourth proportional to 371.33, 512.44 and 214.03 is: 295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.33 : 512.44 = 214.03 : x
  2. Step 2: Convert to fraction form
    371.33/512.44 = 214.03/x
  3. Step 3: Cross multiply
    371.33x = 512.44 × 214.03
  4. Step 4: Simplify right side
    371.33x = 109,675.96
  5. Step 5: Solve for x
    x = 109,675.96/371.33
  6. Step 6: Final answer
    x = 295.36

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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.