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Finding the Fourth Proportional to 371.37, 512.62 and 224.09

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Solution

The fourth proportional to 371.37, 512.62 and 224.09 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.37 : 512.62 = 224.09 : x
  2. Step 2: Convert to fraction form
    371.37/512.62 = 224.09/x
  3. Step 3: Cross multiply
    371.37x = 512.62 × 224.09
  4. Step 4: Simplify right side
    371.37x = 114,870.45
  5. Step 5: Solve for x
    x = 114,870.45/371.37
  6. Step 6: Final answer
    x = 309.32

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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.