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Finding the Fourth Proportional to 371.82, 513.11 and 214.45

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Solution

The fourth proportional to 371.82, 513.11 and 214.45 is: 295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.82 : 513.11 = 214.45 : x
  2. Step 2: Convert to fraction form
    371.82/513.11 = 214.45/x
  3. Step 3: Cross multiply
    371.82x = 513.11 × 214.45
  4. Step 4: Simplify right side
    371.82x = 110,034.49
  5. Step 5: Solve for x
    x = 110,034.49/371.82
  6. Step 6: Final answer
    x = 295.94

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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.