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Finding the Fourth Proportional to 372.25, 513.75 and 217

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Solution

The fourth proportional to 372.25, 513.75 and 217 is: 299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.25 : 513.75 = 217 : x
  2. Step 2: Convert to fraction form
    372.25/513.75 = 217/x
  3. Step 3: Cross multiply
    372.25x = 513.75 × 217
  4. Step 4: Simplify right side
    372.25x = 111,483.75
  5. Step 5: Solve for x
    x = 111,483.75/372.25
  6. Step 6: Final answer
    x = 299.49

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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.