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Finding the Fourth Proportional to 371.18, 512.24 and 223.79

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Solution

The fourth proportional to 371.18, 512.24 and 223.79 is: 308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.18 : 512.24 = 223.79 : x
  2. Step 2: Convert to fraction form
    371.18/512.24 = 223.79/x
  3. Step 3: Cross multiply
    371.18x = 512.24 × 223.79
  4. Step 4: Simplify right side
    371.18x = 114,630.51
  5. Step 5: Solve for x
    x = 114,630.51/371.18
  6. Step 6: Final answer
    x = 308.83

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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.