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Finding the Fourth Proportional to 372.92, 514.64 and 217.67

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Solution

The fourth proportional to 372.92, 514.64 and 217.67 is: 300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.92 : 514.64 = 217.67 : x
  2. Step 2: Convert to fraction form
    372.92/514.64 = 217.67/x
  3. Step 3: Cross multiply
    372.92x = 514.64 × 217.67
  4. Step 4: Simplify right side
    372.92x = 112,021.69
  5. Step 5: Solve for x
    x = 112,021.69/372.92
  6. Step 6: Final answer
    x = 300.39

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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.