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Finding the Fourth Proportional to 371.82, 512.87 and 224.18

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Solution

The fourth proportional to 371.82, 512.87 and 224.18 is: 309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.82 : 512.87 = 224.18 : x
  2. Step 2: Convert to fraction form
    371.82/512.87 = 224.18/x
  3. Step 3: Cross multiply
    371.82x = 512.87 × 224.18
  4. Step 4: Simplify right side
    371.82x = 114,971.51
  5. Step 5: Solve for x
    x = 114,971.51/371.82
  6. Step 6: Final answer
    x = 309.21

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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.