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Finding the Fourth Proportional to 371.17, 511.72 and 324.73

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Solution

The fourth proportional to 371.17, 511.72 and 324.73 is: 447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.17 : 511.72 = 324.73 : x
  2. Step 2: Convert to fraction form
    371.17/511.72 = 324.73/x
  3. Step 3: Cross multiply
    371.17x = 511.72 × 324.73
  4. Step 4: Simplify right side
    371.17x = 166,170.84
  5. Step 5: Solve for x
    x = 166,170.84/371.17
  6. Step 6: Final answer
    x = 447.69

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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.