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Finding the Fourth Proportional to 371.90, 513.24 and 224.66

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Solution

The fourth proportional to 371.90, 513.24 and 224.66 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.90 : 513.24 = 224.66 : x
  2. Step 2: Convert to fraction form
    371.90/513.24 = 224.66/x
  3. Step 3: Cross multiply
    371.90x = 513.24 × 224.66
  4. Step 4: Simplify right side
    371.90x = 115,304.50
  5. Step 5: Solve for x
    x = 115,304.50/371.90
  6. Step 6: Final answer
    x = 310.04

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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.