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Finding the Fourth Proportional to 371.16, 512.26 and 213.80

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Solution

The fourth proportional to 371.16, 512.26 and 213.80 is: 295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.16 : 512.26 = 213.80 : x
  2. Step 2: Convert to fraction form
    371.16/512.26 = 213.80/x
  3. Step 3: Cross multiply
    371.16x = 512.26 × 213.80
  4. Step 4: Simplify right side
    371.16x = 109,518.09
  5. Step 5: Solve for x
    x = 109,518.09/371.16
  6. Step 6: Final answer
    x = 295.07

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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.