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Finding the Fourth Proportional to 371.70, 512.86 and 224.34

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Solution

The fourth proportional to 371.70, 512.86 and 224.34 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.70 : 512.86 = 224.34 : x
  2. Step 2: Convert to fraction form
    371.70/512.86 = 224.34/x
  3. Step 3: Cross multiply
    371.70x = 512.86 × 224.34
  4. Step 4: Simplify right side
    371.70x = 115,052.45
  5. Step 5: Solve for x
    x = 115,052.45/371.70
  6. Step 6: Final answer
    x = 309.53

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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.