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Finding the Fourth Proportional to 371.16, 512.22 and 213.84

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Solution

The fourth proportional to 371.16, 512.22 and 213.84 is: 295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.16 : 512.22 = 213.84 : x
  2. Step 2: Convert to fraction form
    371.16/512.22 = 213.84/x
  3. Step 3: Cross multiply
    371.16x = 512.22 × 213.84
  4. Step 4: Simplify right side
    371.16x = 109,533.12
  5. Step 5: Solve for x
    x = 109,533.12/371.16
  6. Step 6: Final answer
    x = 295.11

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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.