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Finding the Fourth Proportional to 371.91, 513.21 and 214.57

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Solution

The fourth proportional to 371.91, 513.21 and 214.57 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.91 : 513.21 = 214.57 : x
  2. Step 2: Convert to fraction form
    371.91/513.21 = 214.57/x
  3. Step 3: Cross multiply
    371.91x = 513.21 × 214.57
  4. Step 4: Simplify right side
    371.91x = 110,119.47
  5. Step 5: Solve for x
    x = 110,119.47/371.91
  6. Step 6: Final answer
    x = 296.09

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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.