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Finding the Fourth Proportional to 371.40, 512.82 and 224.23

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Solution

The fourth proportional to 371.40, 512.82 and 224.23 is: 309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.40 : 512.82 = 224.23 : x
  2. Step 2: Convert to fraction form
    371.40/512.82 = 224.23/x
  3. Step 3: Cross multiply
    371.40x = 512.82 × 224.23
  4. Step 4: Simplify right side
    371.40x = 114,989.63
  5. Step 5: Solve for x
    x = 114,989.63/371.40
  6. Step 6: Final answer
    x = 309.61

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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.