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Finding the Fourth Proportional to 372.97, 514.61 and 217.63

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Solution

The fourth proportional to 372.97, 514.61 and 217.63 is: 300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.97 : 514.61 = 217.63 : x
  2. Step 2: Convert to fraction form
    372.97/514.61 = 217.63/x
  3. Step 3: Cross multiply
    372.97x = 514.61 × 217.63
  4. Step 4: Simplify right side
    372.97x = 111,994.57
  5. Step 5: Solve for x
    x = 111,994.57/372.97
  6. Step 6: Final answer
    x = 300.28

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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.