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Finding the Fourth Proportional to 376.87, 520.14 and 217.42

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Solution

The fourth proportional to 376.87, 520.14 and 217.42 is: 300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.87 : 520.14 = 217.42 : x
  2. Step 2: Convert to fraction form
    376.87/520.14 = 217.42/x
  3. Step 3: Cross multiply
    376.87x = 520.14 × 217.42
  4. Step 4: Simplify right side
    376.87x = 113,088.84
  5. Step 5: Solve for x
    x = 113,088.84/376.87
  6. Step 6: Final answer
    x = 300.07

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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.